Frederick

A wire of length 50cm is cut into two parts and each part is bent to form a square. If the total area of the two square is 100cm², find the perimeter of each square.

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  1. let each side of one square be x cm
    let the other have side length y cm

    so we know:
    x^2 + y^2 = 100 ***
    and
    4x + 4y = 50
    2x+2y=25 **
    y = (25-2x)/2
    subbing the 2nd part into the first:

    x^2 + (625 - 100x + 4x^2)/4 = 100
    times 4
    4x^2 + 625 - 100x + 4x^2 = 400
    8x^2 - 100x + 225 = 0

    by the formula, I got
    x = appr 9.557

    sub that into ** to get y, and go from there

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