Question

You want to build a small square patio out of one-foot square concrete slabs. Home Depot delivered 80 slabs to your home. Without cutting any of the slabs, what is the largest square patio you are able to build? Its dimensions will be feet by feet. Will you have any slabs left over? If so, how many? There will be slabs left over.

Answer 1

Without cutting any of the slabs, what is the largest square patio you are able to build?

• 8 ft x 8 ft = 64 ft²

Will you have any slabs left over? If so, how many?

• yes, I will have 16 slabs left over

Explanation:

to find the largest square patio just calculate √80 = 8.94. Since you cannot cut the slabs, then the sides must be 8 x 8 = 64 slabs

if you had just one more slab, then you could have built a 9 by 9 square patio (√81 = 9)