Ask Question
14 June, 04:05

Sum of the areas of two squares is 157m^ if sum of their perimeter is 68m find sides of two squares

+2
Answers (1)
  1. 14 June, 05:33
    0
    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 ...
Know the Answer?