Problema Solution

The combined are of a square and a rectangle is 57 square feet. The width of the rectangle is 3 feet more than a side of the square, and the length of the rectangle is 5 more than the side of the quake. Find the length of the rectangle.

Answer provided by our tutors

Let

x = the side of the square, x>0

3 + x = the width of the rectangle

5 + x = the length of the rectangle

x^2 + (3 + x)(5 + x) = 57

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click here to see the equation solved for x

........

x = 3 ft

5 + 3 = 8 ft

The length of the rectangle is 8 feet.