Length of Square

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If the sides of the square increased by 7 cm. ,the area becomes 144 cm² . Find the length of a side of the original square.

Solution :

Let x be the original length. Now the side of the square is increased by 7 cm. So, new length = (x+7) cm.

Area of the square=(x+7)(x+7) cm².

According to the question,

(x+7)(x+7) = 144

=> (x+7)² = 12²

=> (x+7) = 12

=> x = 12 - 7 = 5

So, length of a side of the original square is 5 cm.