Perimeter And A...

A circular pit is dug in a square-shaped garden. The perimeter of the garden is 28 m. What can be the maximum circumference of the pit?
(Take =)

A 2.5 m wide path is built along the sides of a rectangular garden, as shown below. Find the total area of the path.

In the given figure, find the area of the shaded region of rectangle ABCD.

The following figure shows a rectangular floor made using square-shaped tiles of side 2 m. Some of the tiles among them are broken. The broken tiles have been shaded.

What is the area of unshaded portion of rectangular floor?

Find the perimeter of the given figure comprising a triangle, a rectangle and a semicircle.

Three identical squares, with side 4 cm, are placed one above another. Each square placed on top of another is moved to the right by half the length of the side of the square, as shown below. Find the perimeter of the figure.

The ratio of circumferences of two circles is 6 : 5. Find the respective ratio of their areas.

The perpendicular of a right-angled triangle measures 3 m. The area of the triangle 6 m². What are the lengths of the other two sides of the triangle?

Radha takes a rectangular cardboard. She also takes two identical triangles and place them along the two vertical sides of the rectangle, as shown in the figure below. Find the area of the combined shape.

Two triangles are drawn inside a circle of radius 28 cm, as shown in the figure below. Calculate the area of the shaded region.

In a rhombus ABCD, BD is one of the diagonals and it measures 24 m. Two perpendiculars are drawn from A and C to BD, each 16 m in length. Find the area of the rhombus.

If the radius of a circle increases to 4 times its initial value, then the circumference of the circle will become __________ its initial value.

What is the value of (x + y) in the given figure, if the perimeter is 34 cm?

Find the area of the shaded reason in the following figure.

The area of a trapezium is 384 sq. cm. If the lengths of its parallel sides are in the ratio of 3 : 5 and the perpendicular distance between them is 12 cm, then length of the smaller of the parallel sides is

A park is 300 m long and 150 m wide. It has two roads in its centre of uniform width of 5 m, one parallel to its length and the other parallel to its breadth. The municipal corporation wants to cover that path by tiles leaving the centre portion of both the paths. Find the cost of covering the paths at the rate of Rs. 5 per square metre.

In a park, there are some flower beds made in the shapes of square and circle. The following figure shows the dimensions of the same. Find the area of the park not covered by the flower beds.

A pet dog is tied with a leash to a wall outside a house. If the length of the leash is 20 m, find the area of land on which the dog can move freely.

From a square-shaped wooden piece of side 30 cm, a triangle was cut as shown in the figure below. Find out the area of the remaining wooden piece.

A straight road of length 1 km and width 20 m is to be covered with concrete. One kg of concrete can cover 5 cm × 5 cm. Find the cost of covering the whole road if 1 kg of concrete costs Rs. 10.

A park is 225 m long and 175 m wide. It has a path of uniform width of 30 m along its sides. This path is to be covered by tiles. Find the area of the park covered by tiles and the cost of covering the path at Rs. 25 per m², respectively.

Which of the following figures has the maximum area?

State 'T' for true and 'F' for false for the following statements.

1. The length of fence required to cover the boundary of a circular park of radius 60 m is 370 m.
2. The ratio of the area of a circle to its radius is always πr : 1.
3. 76,500 m² = 7.65 hectares
4. If 1 km² = x m², the value of x is 1,00,000.

Consider the following statements and choose the correct option accordingly.

Statement-I: A park is 55 m long and 25 m wide. Along the length, there is a path of width 5 m on either side. However, along the width of the park, on one side there is a path of width 10 m, and on the other side, there is a path of width 15 m. Then, the area of path is 925 m².
Statement-II: If the area of a circular park is 2,29,11,400 cm², then its radius is 27 m.

Find the values of A, B, and C.

1. In a square park of side 25 m, there is a circular pond of radius 7 m. The area not covered by the pond is [A].
2. A square-shaped room of side m is to be covered by square-shaped floor tiles of side 0.75 m. The number of tiles required is [B].
3. If the radius of a circle is 28 m, then the circumference of the semicircle will be [C].