Question

Find the length of the side of the given square if area of the square is 625 square units and then find the value of x.

Answer 1

We have, a square having length of a side (4x + 5) units and area is 625 sq.units.

∵ Area of a square = (Side)²

(4x + 5)² = 625

⇒ (4x + 5)² = (25)²   ...[Taking square root both sides and neglecting (– ve) sign]

⇒ 4x + 5 = 25

⇒ 4x = 25 – 5

⇒ 4x = 20

⇒ x = 5

Hence, side = 4x + 5 = 4 × 5 + 5 = 25 units