Question

Two squares have sides x cm and (x + 4) cm. The sum of their areas is 976 cm².Find the sides of the square.

Answer 1

Step-by-step explanation:

Given :-

The sides of two squares are x and x+4

sum of areas = 976

solution :-

${x}^{2} + {(x + 4)}^{2} = 976 \\ {x}^{2} + {x}^{2} + 16 + 8x = 976 \\ 2 {x}^{2} + 8x - 960 = 0 \\ {x}^{2} + 4x - 480 = 0$

solve this equation to get the value of x