A square playground covers

MATHEMATICS · Single correct · CBSE · Mathematics · Area · Area

Problem

288\,\text{m}^2

. A pathway

2\,\text{m}

wide runs all around outside the playground forming a larger square. Find the area of the pathway. (a)

96\sqrt{2}\,\text{m}^2

(b)

16+48\sqrt{2}\,\text{m}^2

(c)

16 + 96\sqrt{2}\,\text{m}^2

(d)

96\sqrt{2}-16\,\text{m}^2