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 feet x2 ​? Let s be the length of​ Norman's backyard.

Answer 1

116=perimeter
Since the backyard is a perfect square, the two sides are the same. Equation to find dimensions:
2x=116
x=58
To find the area of the backyard multiply x to itself.
58•58=3364
Area of total backyard: 3364 ft^2
Area of pool equation:
900•2=A
A= 1800
The area of the pool is less than the are of the backyard so yes, the pool will fit.