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Question

Two squares have sides x cm and (x + 4) cm. The sum of their areas is 656 cm2. Find the sides of the squares.

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Solution

Given that sides of the squares are and .Then

According to question,

Sum of the areas of square

So,

or

Sides of the square never are negative.

Therefore the side of the other square is

Hence, sides of the square be and respectively.


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