Related Skills

► Area and perimeter Sums

► Geometry sums

► Four sided Figures

1) WXYZ is a parallelogram.

(a) What fraction of the area is shaded?

(b) If the area of the figure is 256 cm², what is the area of the shaded part?

Ans :- a) ½ the area is shaded.

b) The area of shaded part is 128 cm²

2) The figure is made up of 2 identical quadrants. Find the perimeter of the figure below.(Take π = ^{22}⁄_{7})

Ans :- The perimeter of figure is 200 cm

3) James folded a rectangular strip of paper to form the shape shown below. What was the area of the rectangular strip of paper before it was folded?

Ans :- 76 cm²

4) The figure below shows four identical circles arranged in a big circle of diameter 28 cm. Find the area of the shaded part.

(Take π = ^{22}⁄_{7})

Ans :- Area of shaded part is 112 cm²

5) In the diagram below (not drawn to scale), PQS is a quadrant with a radius of 48 cm. PT = TR and PR = RS. Sector TUS is ^{1}⁄_{8} of the circle with radius TS. Find the area of the unshaded part. Give your answer correct to 2 decimal places.

Ans :- The area of unshaded part is 1527.43 cm²

6) The figure below is made up of 3 identical squares of sides 10 cm, overlapping each other. 4.5% of A is shaded. WXYZ is a square. Find the total area of the shaded part.

Ans :- The total area of shaded part is 50 cm²

7) The figure below is made up of 2 identical squares and 4 identical rectangles. What is the area of the figure?

Ans :- Area of the figure is 2754 cm²

8) The shaded figure below is formed by semi-circles, quadrants and straight lines of 15 cm each. For each of the following, use the calculator value of π to find

(a) the perimeter of the shaded figure, correct to 2 decimal places.

(b) the area of the shaded figure, correct to 2 decimal places.

Ans :- a) The perimeter of the shaded figure is 124.25 cm

b) Area of shaded figure is 369.86 cm²

9) The figure below is drawn on square grids.

(a) Find the area of the shaded figure. Round off your answer to 2 decimal places.

(b) Find the perimeter of the shaded figure. Leave your answers in terms of π.

Ans :- a) The area of shaded figure is 10.57 cm²

b) The perimeter of shaded figure is (10 + 4π) cm

10) The area of a triangle with a base of 10 cm is the same as the area of a circle with radius 5 cm. Find the height of the triangle. Leave your answer in terms of π.

Ans :- Height of triangle is 5π