Cluster · Mensuration of Quadrilaterals and Circles

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Clusters / #1121
tight score 0.18

Rectangle Circle Area Perimeter Problems
Questions
361
Questions in this cluster
361 total
Question Category Subtype Difficulty

Directions: A statement is given followed by three conclusions. You have to read them carefully and decide which of the following question given as a conclusion can be answered with the statement given below.

Statement:

The area of a rectangular field whose length and breadth is 40m and 30m respectively is 1200m2.

Conclusion:

C1- What will be the per m2 cost of covering the field with grass?

C2- A square field with a side 1/4th of the length of the rectangular field is given. What will be the area of this square field?

C3- What will be the total cost of fencing the rectangular field with barbed wire?

pipeline-1255838
ib intermediate

The area of the circular park is 5544 m2. There is a 7m wide path for running inside the park. Park owners decide to pave the running track. If the cost of paving Rs 12 per meter square then find the total cost of paving the running track of the park.

pipeline-1194510
delhi_police intermediate

Eswar bought a new plot which needs to be fenced immediately, due to this length as well as the breadth of the rectangular working place is reduced by 16%. Find the percentage decrease in the area.

pipeline-1157237
delhi_police percentage intermediate

A wire is in the form of square with side 44 cm. It is bent to form a circle. What is the radius of the circle?

pipeline-1112517
delhi_police intermediate

What is the area of the sector of a circle of radius 8 cm and formed by an arc of length 12 cm?

pipeline-1132099
delhi_police intermediate

If the length of a rectangle is reduced by 15% and the breadth is increased by 10%, what is the percentage change in the area of the rectangle?

pipeline-1108883
delhi_police percentage intermediate

If thrice the perimeter of a square is 5 cm less than 5 times the sum of its diagonals, then find the side of the square.

pipeline-1102595
delhi_police intermediate

The length and the breadth of a rectangle are made to increase and decrease, respectively, by 8% and 10%. What is the percentage increase or decrease in its area?

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delhi_police percentage intermediate

A rectangular carpet has a perimeter of 38 metres and the difference between its length and breadth is 12m. The length of its diagonal (in meters) is:

pipeline-1192796
delhi_police intermediate

What will be the cost of levelling a circular ground of diameter 28 m, if the charges are Rs. 125/m2?

pipeline-1133778
delhi_police intermediate

The width of a rectangle is 210 cm and its diagonal is 546 cm. Describe its perimeter. (in cm)

pipeline-1131200
delhi_police intermediate

The area (in cm2) of the biggest circle that could be drawn in a square of side 18 cm is:

pipeline-1139379
delhi_police intermediate

The perimeter of a rectangle is 22 cm and the length is 1 cm. What is the area of the rectangle?

pipeline-1086781
delhi_police intermediate

If the area of a square is 529 cm2, then what is the length of its diagonal?

pipeline-1083803
delhi_police intermediate

The perimeters of two squares are 52 cm and 20 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of these two squares.

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delhi_police intermediate

If the area of a square is decreased by 19% , then the diagonal of the square is decreased by :

pipeline-1083793
delhi_police intermediate

The ratio of the outer and the inner circumference of a circular path is 5 : 4. If the path is 50 meters wide, then what is the radius of the inner circle?

pipeline-1083797
delhi_police intermediate

The circumference of the two circles is 77 cm and 154 cm, respectively. What is the difference between their radii?

pipeline-1145908
delhi_police intermediate

If the radius of the circle is 42 cm, the angle formed at the center by an arc is 150°. What is the length of the corresponding arc?

pipeline-1155501
delhi_police intermediate

The area of a triangle is half the area of a square. The perimeter of the square is 172 cm. What is the area of the triangle (in cm2)?

pipeline-1198728
delhi_police intermediate

From a circle, a sector with a central angle of 30° is cut off. If the length of the arc of this sector is 5.5 cm, then find the radius (in cm) of the circle. { use pi = 22/7}

pipeline-1173347
delhi_police intermediate

The length of a rectangle is 10 cm more than the side of a square and its breadth is 8 cm less than the side of the square. If the areas of both the rectangle and square are equal, then what will be the perimeter (in cm) of the rectangle?

pipeline-1131346
delhi_police intermediate

If the perimeter of a circle is 88 m, then what is the area of the circle? \((\pi={{22} \over 7})\)

pipeline-1134972
delhi_police intermediate

The area of a square is 48400 square meters. If each side of the square is increased by 10%, then find the area difference between them.

pipeline-1086722
delhi_police intermediate

If a map of a city was drawn on a scale of 0.2 cm to a km, what area would represent a country if it has an area of 22500 km²?

pipeline-1103322
delhi_police intermediate

If a rectangle has a 10 cm long diagonal and a perimeter of 28 cm, then the area of the rectangle is:

pipeline-1096955
delhi_police intermediate

The length of the diagonal of the square is 51\(\sqrt2\) cm. Find the numerical value of the sum of its area and its perimeter.

pipeline-1083745
delhi_police intermediate

The width of the path around a square field is 4.5m and its area is 105.75 m2. Find the cost of fencing the path at the rate of Rs100 per meter.

pipeline-1094554
delhi_police intermediate

The width of a rectangle is 2 m less than its length. If the perimeter of the rectangle is 68 m, then what is the length (in metres) of the rectangle?

pipeline-1084053
delhi_police intermediate

A rectangular grassy lawn is 16m broad and 20m in length. It has a gravel path 1.6m wide all around it on the outside. What is the area of the path?

pipeline-1023236
railways intermediate

The length of a rectangular park is 20 meters more than its breadth. If the cost of fencing the park at Rs. 53 per meter is Rs. 21200, then what is the area (in m2) of the park?

pipeline-988650
railways intermediate

A rectangle with a side length of 28 cm and width 45 cm is inscribed inside a larger circle. Calculate the area outside the rectangle but inside the circle.

pipeline-854212
railways intermediate

The area of a rectangle is 42 sq. cm and its length is 7 cm. Find its perimeter.

pipeline-988103
railways intermediate

A rectangular field has a length of 20 meters and a diagonal of 25 meters. Find the width of the field.

pipeline-828055
railways intermediate

Area of the circle of diameter 28 cm is equal to the perimeter of the rectangle in magnitude whose length is 8 cm more than its breadth. Find the area of the rectangle.

pipeline-828054
railways intermediate

A rectangular carpet has area 162.5 m2 and the perimeter is 70 meters. Then find the length of diagonal of the carpet.

pipeline-802432
railways intermediate

The cost of fencing a square lawn at Rs. 20 per metre is Rs. 1200. Find the area of the square lawn.

pipeline-824951
railways intermediate

The length and breadth of a rectangular sheet are 24 m and 15 m, respectively. 4 triangles are cut from all 4 corners with base 5 m and height 6 m. Find the area of the remaining part of the rectangle.

pipeline-853600
railways intermediate

A rectangular grassy lawn is 16m broad and 20m in length. It has a gravel path 1.6m wide all around it on the outside. What is the area of the path?

pipeline-842561
railways intermediate

Find the area of the circle whose circumference is equal to the perimeter of a square of side 24 cm.

pipeline-853896
railways intermediate

The area of the square is 4/5th of the area of a rectangle. If the sides of the rectangle are 18 cm and 24 cm, then what is the area of the square?

pipeline-827951
railways intermediate

A buffalo is placed for grazing inside a rectangular field measuring 24 m and 46 m. It is tethered to one corner by a rope 15 meters long. How much area is left ungrazed?

pipeline-848046
railways intermediate

If the diameter of the circle is 31.5 cm, find the circumference of the semicircle formed from it.

pipeline-848048
railways intermediate

If the breadth of the rectangle is one-fourth of the side of the square and the length of the rectangle is equal to the radius of the circle whose circumference is 308 cm. If the perimeter of the square is 144 cm. Then find the area of the rectangle.

pipeline-822994
railways intermediate

Area of a rectangular field whose length and breadth are in the ratio 5 : 4 and has an area of 1937.504 sq ft. If the field has to be fenced on three sides leaving one smaller side, then what is the total length of the fencing required? (Take approximate values if needed)

pipeline-838058
railways intermediate

The area of the circular park is 5544 m2. There is a 7m wide path for running inside the park. Park owners decide to pave the running track. If the cost of paving Rs 12 per meter square then find the total cost of paving the running track of the park.

pipeline-802831
railways intermediate

The area of the square is 4/5th of the area of a rectangle. If the sides of the rectangle are 18 cm and 24 cm, then what is the area of the square?

pipeline-802530
railways intermediate

A 48 m length of wire is moulded to form a square. What is the area of the square made by joining the midpoints of the square?

pipeline-837993
railways intermediate

The length of the rectangle increases by 44% whereas its breadth increases by 25%. What is the ratio of the new area of the rectangle and the old area of the rectangle?

pipeline-837984
railways intermediate

A rectangular field has a length of 20 meters and a diagonal of 25 meters. Find the width of the field.

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railways intermediate
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