Question

The area of a square equals the square of a length of the side of the square. The perimeter of a square equals the sum of the lengths of all four sides. The sum of the areas of two squares is 65, while the difference in their areas is 33. Find the sum of their perimeters.

Answer 1

We can call the areas of the squares x and y. x+y=65 and x-y=33.

x would have an area of 49 and y has an area of 16.

Each side of x would be 7 and each side of y would be 4.



Answer 2

23

Explanation:

because the are la of the square is equal all sides of area