Related Skills
Area and perimeter Sums
Geometry sums
Four sided Figures

# Math worksheet for Area and Perimeter

1. Anthony had 3 rectangular pieces of cardboard. He cut out 3 semicircles, each with a diameter of 14 cm from the cardboard. The perimeter of the remaining piece of cardboard as shown below is 154 cm. What is the length of XY? (Take π = 227)

Ans :- Length of XY is17 cm.

2. Jack bought some candies that came in a square pyramid as shown in the figure below. Each pyramid has a square base area of 1 cm² and a vertical height of 1 cm.

He then packed the candies in a box measuring 6 cm by 4 cm by 4 cm. What was the maximum number of such candies that he could pack into the box?

Ans :- He could pack 176 such candies.

3. The figure below, not drawn to scale, shows a rectangle, ABCD, which is divided into 4 parts, W, X, Y and Z.
The ratio of the area of W to the area of X is 1 : 3.
The ratio of the area of X to the area of Y is 2 : 7.
If the area of Z is 238 cm², what is the area of rectangle ABCD?

Ans :- the area of rectangle ABCD is 644 cm².

4. In the figure below, the length of the square is 13 the bredth of the rectangle.

(a) What is the length of the square in terms of n.
(b) What is the area of the shaded part when n = 3?

Ans :- a) the length of the square is 2n cm
b) The area of the shaded part is 450 cm².

5. The figure below is made up of three squares.

(a) Express the perimeter of the figure in terms of y.
(b) The area of each of the small squares is 4 cm². Find the area of the whole figure.

Ans :- a) 20y cm
b) 72 cm².

6. One large and two small quadrants are drawn in a square as shown. Find the area of the part that is coloured. (Take π = 3.14)

Ans :- 56.76 cm².

7. The figure comprises of a circle and a square. The ratio of the area of the yellow region to the area of the blue region is 1 : 4. The perimeter of the square is 20 cm. The circumference of the circle is 44 cm. Find the total area of the red, yellow and blue parts.

Ans :- 174 cm².

8. If the green triangle is greater than the yellow triangle by 9 cm², find the breadth of the rectangle.

Ans :- 5 cm.

9. Find the area of the shaded parts. Take π = 227

Ans :- 112 cm².

10. The area of ∆ABE is 16 cm². smaller than ∆CDE. Find AB.

Ans :- AB = 6 cm.