Question

tom wants a patio to cover 1/4 of the yard.the area is 1/4s^2.what is the area of the patio if the yard is 12 feet on each side of the square patio

Answer 1

The expresion for the area of the patio is:

$\frac{1}{4}s^2$

Where s = side lenght of the yards in feets

Then we replace s = 12ft:

$\frac{1}{4}(12ft)^2=\frac{1}{4}144ft^2=36ft^2$

Then the area of the patio is 36ft²