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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.
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Solution
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
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