Problema Solution

The length of each side of a square is 3 inches more than the length of each side of smaller square. The sum of the areas of the square is 117 inches. Find the lengths of the sides.

Answer provided by our tutors

let x = side of small square and y = side of large square

y = 3x 

x^2 + y^2 = 117

x^2 + 3x^2 = 117 

4x^2 = 117

x^2 = 29.25

x = 5.408

 

y = 3(5.408) = 16.225