Problema Solution
The length of each side of a square is 3 more than the length of each side of a smaller square. The sum ofthe areas of the squares is 269in^2.Find the lengths of the sides of the two squares
Answer provided by our tutors
Let
x = the length of the side of the smaller square
x + 3 = the length of the side of the larger square
The area of the smaller square is x^2.
The area of the larger square is (x + 3)^2.
The sum of the areas is 269 in^2:
x^2 + (x + 3)^2 = 269
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click here to see the equation solved for x
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x = 10 in
We need to ignore the negative solution -13 since the length is always positive.
10 + 3 = 13 in
The length of the side of the smaller square is 10 inches.
The length of the side of the larger square is 13 inches.