Answer:
The sides of the the 2 squares are 6m and 11m.
Step-by-step explanation:
Let the length of the sides in the 2 squares be x and y. Then we have the following system of equations;
x^2 + y^2 = 157
4x + 4y = 68
From the second equation, dividing through by 4 we get:
x + y = 17
y = 17- x
Substitute for y in the first equation:-
x^2 + (17 - x)^2 = 157
x^2 + 289 - 34x + x^2 = 157
2x^2 - 34x + 132 = 0
x^2 - 17x + 66 = 0
(x - 11)(x - 6) = 9
x = 11, 6 .
y = 17 - 6 = 11, 17 - 11 = 6..
