If you cut away a triangle of area 59cm^2,the remaining area will be 85cm^2.Find the length of the side of the square before it was cut.?

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At = area of triangle = 59 cm²
Ar = remaining area = 85 cm²
As = area of square = to be determined
s = square side length = to be determined

As = Ar + At
As = 85 cm² + 59 cm²
As = 144 cm²

As = s²
s = √As
s = 12 cm...Show more

　
Area of square before it was cut
= Area of triangle + remaining area
= 59 cm² + 85 cm²
= 144 cm²

Length of side of square before it was cut = 12 cm...Show more