Question

A back patio has 127ft^2127 f t 2 of area in Brad's yard. If his patio is perfectly square, what is the side length of the patio? Round your answer to the nearest hundredths place. Group of answer choices 11.27 feet 11.3 feet 11 feet 11.25 feet

Answer 1

The length of side of patio is 11.27 feet.

Option A is correct option.

Explanation:

Area of patio = 127 ft^2

We need to find side length of the patio.

Since the patio is square, the formula used is:

`Area\: of\: square = l^2`

where l is the side length of square.

Now, putting value of area we can find area of square.

`Area\: of\: square = l^2\\127=l^2\\Switching\:sides\:\\l^2=127\\Taking\:square\:root\:on\:both\:sides\\√(l^2)=√(127) \\l=11.27`

So, the length of side of patio is 11.27 feet.

Option A is correct option.