Question

Mark (✓) against the correct answer
Each diagonal of a square is 14 cm long. Its area is

(a) 196 cm²
(b) 88 cm²
(c) 98 cm²
(d) 147 cm²

Answer 1

(c) 98 cm²

Given that the diagonal of a square is 14 cm.

Area of a square = $\left\{\frac{1}{2}\times {\left(D\mathrm{iagonal}\right)}^2\right\}$sq. units.
= $\left\{\frac{1}{2}\times {\left(14\right)}^2\right\}$ cm² =$\left\{\frac{1}{2}\times 196\right\}$ cm² = 98 cm²
Hence, area of the square is 98 cm².