Solve Problems Using Systems of Nonlinear Equations
-Find the dimensions of a rectangle whose perimeter is 44 feet and whose area is 117 square feet.
A) 9 feet by 13 feet
B) 8 feet by 14 feet
C) 10 feet by 12 feet
D) 8 feet by 12 feet

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by $2l + 2w = 44$, and the area is given by $lw = 117$. Solving these equations simultaneously, we find that the dimensions that satisfy both conditions are 9 feet by 13 feet.