Question

norman bought 116 feet of fencing to put around his backyard. the backyard is a perfect square. write an equation to find the dimensions of his backyard. is the area big enough for a pool that is 900 feet²? let s be the length of normans backyard.
an equation to find the dimensions of his backyard is 4s = 116
(use the operation symbols in the math palette as needed.)
is the area big enough for a pool that is 900 feet²? select the correct choice and fill in the answer box to complete your choice
(type a whole number.)
a. yes, the backyard is big enough. it is □ feet², which is greater than 900 feet²
b. no, the backyard is not big enough. it is □ feet², which is less than 900 feet²

Explanation:

Step1: Solve the equation for \(s\)

Given \(4s = 116\), divide both sides by \(4\).
\(s=\frac{116}{4}=29\)

Step2: Calculate the area of the square backyard

The area formula for a square is \(A = s^{2}\). Substitute \(s = 29\) into the formula.
\(A=29^{2}=841\)

Answer:

B. No, the backyard is not big enough. It is \(841\) feet², which is less than \(900\) feet².