Question

Two squares have sides x cm and (x+4) cm . The sum of their areas is 656 cm^2. Find the sides of the square. (ans: 16 cm ,20cm)

Answer 1

let sides of square x cm and (x+4 )cm

now

area of first square = x²

area of second square = (x+4)²

according to question

x² + (x+4)² = 656

x² + x²+ 16 + 8x = 656

2x² + 8x +16 = 656

2x² + 8x - 640 = 0

x² + 4x - 320 = 0

(x +20) ( x - 16) = 0

x + 20 = 0 or x -16 = 0

x = -20 ❌ or x = 16

so first square side = 16 cm

second square side = x + 4 => 16+4 = 20 cm

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Hope it will help you ...✌✌