Question

Find the perimeter and area of a square whose diagonal is `5sqrt(2)"cm"`. Give your answer correct to two decimal places if `sqrt(2)` = 1.414.

Answer 1

Diagonal of a square = `5sqrt(2)"cm"`
⇒ Side of a square x `sqrt(2) = 5sqrt(2)`
⇒ Side pf a square = 5cm
Thus, w have
Perimeter of a square
= 4 x Side
= 4 x 5
= 20cm
Area of a square
= (Side)²
= (5)²
= 25cm².