Question

two squares have sides x cm and (x+4) cm. the sun of their areas is 656cm2. find the sides of square
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Answer 1

Answer:

The sides of squares are 16 cm and 20 cm.

Step-by-step explanation:

Sum of area of the squares = x² + (x+4)²

x²+x²+8x+16 = 656

2x²+8x - 640 = 0

=> x² + 4x - 320 = 0

=> x²+20x - 16x - 320 = 0

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

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

=> x = 16.

The sides of squares are 16 cm and 20 cm.

                           

Answer 2

Answer:

x^2+(x +4)^2=656

x^2+ x^2+8x + 16=656

2x^2+8x-640=0

divideby 2

x^2+4x-320=o

factorise:

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

x=16

sides of the squares are:

x=16,x+4-20

16cm and 20cm. Ans