Question

Anyone, Please Help me.

the figure is not drawn to scale. it shows two squares. the total area of two squares is 65 sq cm. the length of the smaller square is more that half the length of the larger square. given that the length of each square is a whole number, find the length of each square.

Answer 1

let the side of the larger square be x
let the side of the smaller square be y

1.
x^2 + y^2 = 65

2.
y > 1/2x
2y > x

initial thought: 65 must be sum of 2 squares,
8 and 1 immediately come to mind
but 2(1) is not greater than 8

how about 7 and 4 ?
is 7^2 + 4^2 = 65 ? YES

is 4 > (1/2)(7) ? , YES

the larger square has a side of 7 and the smaller sides of 4