Question

25. The Jones family is designing their new garage and workshop. The workshop will be a

smaller square attached to the larger square garage. The sides of the garage are 4 times as
long as the sides of the workshop, and the sum of the areas of the two squares is 612 square
feet. How long are the sides of the workshop and the garage?

Answer 1

Explanation:

each side of workshop = x

area of workshop = x²

each side of garage = 4x

area of garage = (4x)² = 16x²

total area = x² + 16x² = 17x²

17x² = 612

x² = 36

x = √36 = 6 ft

each side of workshop = 6ft

each side of garage = 24ft