A rectangular lawn measures m by m

MATHEMATICS · Single correct · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

A rectangular lawn measures

40\,

m by

28\,

m. Semicircles of radius

14\,

m are attached externally to each of the longer sides, while quadrants of radius

7\,

m are cut away from each corner of the rectangle. Find the area of the lawn after these modifications (take

\pi=\dfrac{22}{7}

). (a)

1659\,\text{m}^2

(b)

1736\,\text{m}^2

(c)

1582\,\text{m}^2

(d)

1428\,\text{m}^2