If the height of a triangle and its base is increased by 30% then, find the percentage increase in its area.

The circumference of a semi-circle having a radius of 14 cm is equal to the perimeter of a square, then find the area of the square.

What could be the maximum area of a triangle inside a semi-circle with a radius measuring 7 cm?

The plowing cost of a rectangular field is Rs. 288 at the rate of Rs. 3 per square meter. The length of the field is 4 meters more than the width of the field.

Quantity I: Length of rectangular field.

Quantity II: 12 meters.

Find the ratio of area of a circle to area of square if perimeter of circle and square is equal.

The area of a square lawn is 1296 m². What will be price of a piece of semi-circular land whose circumference is equal to the perimeter of the square lawn? (Rate per m² of the land is Rs. 2500)

The ratio of radius of circle X and circumference of another circle Y is 7 : 55. If the difference of radius of circle Y and X is 7 cm then find the area of circle Y.

A rectangular grassy lawn is 18 m by 15 m. It has a gravel path 2 m wide all around it on the outside. What is the area of the path?

The area of a circle with a radius 28 cm is the same as that of a square. Find the length of the diagonal of the square. (Take π = 22/7)

The length of the side of the square is 9 cm and there are some circles of equal area inside the square. Find the area of the shaded portion of the given figure.

An increase of 2 cm in the side of a square will increase its area by 68 cm². If one of its sides is reduced by half and the other one is increased by 4 cm, what will be the area (in cm²) of the rectangle obtained?

Quantity I: What is the area of the circular ring between two concentric circles, whose circumferences are 22m and 32m respectively?

Quantity II: What will be the area of the largest circle that can be drawn inside a square of side 14m?

A circle of radius 3.5 cm is inscribed inside a rectangle and it touches each of the sides of the rectangle at only one point. Find the ratio of the area of the rectangle and the area of the circle.

The perimeter of a rectangle is 66 cm and side of a square is equal to breadth of rectangle. If the ratio of area of rectangle and square is 6 : 5 then find the perimeter of the square.

There is a circle and a square, the radius of the circle is 14 cm and the side of the square is 1/77 of the total area of the circle. Find the total area of the square.

The perimeter of a rectangle is 66 cm and the side of a square is equal to the breadth of the rectangle. If the ratio of area of rectangle and square is 6 : 5 then find the perimeter of the square.

A milkman makes a stand for his cow in the corner of the cemented rectangular road ended at the three-way crossing (a Y-shaped road where all three roads meet at the same angle). Cow, with 20-meter rope, was tied to the pole. Find the total area grazed by the cow, if it could only graze the area on one way of the road. (Take π = 3.14)

The cost of fencing a hexagonal plot at the rate of Rs. 9 per metre is Rs. 1620. What is the perimeter of the plot? (in m)

The circumference of the semi-circle of radius 14 cm is 6 cm less than the perimeter of the sector of another circle. If the angle of the sector is 45° then find the radius of another circle.

The length and breadth of a rectangle are increased by 16% and 15%, respectively. By how much percentage, will its area increase?

A circle of radius 3.5 cm is inscribed inside a rectangle and it touches each of the sides of the rectangle at only one point. Find the ratio of the area of the rectangle and the area of the circle.

A rectangular park measures 60 m in length and 40 m in width. Two paths, each 2 m wide, cross each other in the middle of the park, dividing it into four equal parts. What is the remaining area of the park after the area (in m²) of the paths is removed?

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

The perimeter of a rectangle is 228 cm and its length is 26 cm more than its breadth. If the area of the rectangle is 80% of the area of a circle, what is the circumference (in cm) of the circle?

If the length decreases by 5 cm and the breadth decreases by 14 cm, the area of the rectangle will reduce by 560 cm². If the breadth increases by 2 cm and the length increases by 5 cm, the area will increase by 220 cm². What is the perimeter of the rectangle? (in cm)

If the ratio of length to breadth of a rectangle is 4 : 3 and the area of the rectangle is 300 cm² then, find the difference between the length and the breadth of the rectangle.

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

The length and breadth of a rectangle are increased by 70% and 30% respectively. What is the percentage increase in the area of the rectangle?

The perimeter of a rectangle is 66 cm and the side of a square is equal to the breadth of the rectangle. If the ratio of area of rectangle and square is 6 : 5 then find the perimeter of the square.

What is the cost of flooring the rectangular room?

Statement I: Length and breadth of the room are in the ratio 3 : 5.

Statement II: Length of the hall is 108 m and the cost of flooring is Rs. 150 per m².

Statement III: Perimeter of the hall is 280 m and the cost of flooring is Rs. 150 per m². 

There is a road of uniform width around a campus, which is in the shape of a rectangle. Find the outer perimeter of the road.

Statement I: The Area of the road is 180 m² while the width of the road is 2 meters.

Statement II: The length of the campus is 9 meters more than the width of the campus.

Statement III: The inner perimeter of the road is 82 meters, and the width of the road is 2 meters.

What is the circumference of the circle?

Statement I:  The area of the circle is half of the Area of the square

Statement II: The ratio of the perimeter of the square and circle is 2 : 1

Find out the area of the shaded portion of the figure.

Statement I: A Circumference of the Circle

Statement II: The value of the θ

Statement III: The length of the arc PQR

The circumference of the circle is 44 cm. The side of the square is equal to the radius of the circle.

Quantity (I) : Area of the circle.

Quantity (II) : Area of the square.

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?

In the given figure, if every 4 big circles has a radius of 7 cm. So, find the area of the small circle.

Statement I: The side of the square is 14 cm

Statement II: The area of the square is 196 cm²

Statement III: The diameter of the circle is 14 cm

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:

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)

What will be the area of the largest circle, which can be inscribed in a square whose perimeter is 480 cm?

Each side of a square park is 2500 cm. And there are 220 cm wide two paths passing through its center. How much does it cost to lay gravel on the paths at a cost of Rs 4/decemeter²?

The differences between the circumference and diameter of a circle is 60 cm, then radius is

A square with maximum possible side is drawn in a circle of radius 12 cm. What is the area of square?

The length and breadth of a rectangle are in the ratio 8:3. Find Its area if perimeter is 132 cm.

Area of the equilateral triangle is 49√3 m² and the length of the rectangle is 6m more than the side of the equilateral triangle. If the breadth of the rectangle is 25 m, then find the area of the rectangle.

In a circular garden of radius 15 m, a path of 2 m wide has to be made inside the garden at the rate of Rs. 24 per sq. m. The cost of making the path is: (Take π = 22/7)

The area of the circle is 2464 m² and the square is marked outside the circle by touching the circumference of the circle. Find the area of the square and the circumference of the circle.

The least number of square tiles required to pave the floor of a room with dimensions 15 meters and 12 meters will be:

The perimeter of a semicircle is 72 cm. Find the area of the circle having the same radius as the semicircle.

The perimeter of the parallelogram is 124 m and the length of the parallelogram is 3 m more than the radius of the circle. If the area of the circle is 3850 m² and the height of the parallelogram is 15 m, then find the area of the parallelogram.

If the length of the rectangle is increased by 20% and the breadth of the rectangle is decreased by 15%, then the area of the rectangle becomes 510 cm². Find the area of the original rectangle.