Question
Class 7MathematicsPerimeter and Area

In the given figure, calculate:

(а) the area of the whole figure.

(b) the total length of the boundary of the field.

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Verified Answer

Area of the rectangular portions = l × b = 80 cm × 42 cm = 3360 cm2

Area of two semicircles = 2 × 1/2 πr²= πr²

=22/7× 21 × 21

= 22 × 3 × 21

= 1386 cm2

Total area = 3360 cm2 + 1386 cm2 = 4746 cm2

Total length of the boundary of field = (2 × 80 + πr + πr) cm

= (160 +22/7 × 21 +22/7 × 21)

= (160 + 132) cm

= 292 cm

Hence, the required (i) area = 4746 cm2 and (ii) length of boundary = 292 cm.