Solve the problem by using a nonlinear system.
-The area of a rectangular rug is $252 \mathrm{ft}^{2}$ and its perimeter is 64 feet. Find the dimensions of the rug.
A) $15 \mathrm{ft}$ by $18 \mathrm{ft}$
B) $14 \mathrm{ft}$ by $18 \mathrm{ft}$
C) $15 \mathrm{ft}$ by $17 \mathrm{ft}$
D) $14 \mathrm{ft}$ by $17 \mathrm{ft}$

Question

Quizplus · Accepted Answer

The dimensions of the rug can be found by solving the system of equations derived from the given area and perimeter. Let $x$ and $y$ be the length and width of the rug, respectively. The area is given by $xy = 252$, and the perimeter is given by $2x + 2y = 64$. Simplifying the perimeter equation gives $x + y = 32$. Solving this system of equations, we find that $x = 14$ and $y = 18$, making the correct dimensions $14 \mathrm{ft}$ by $18 \mathrm{ft}$.

Solve the Problem by Using a Nonlinear System 252ft2252 \mathrm{ft}^{2}252ft2 And Its Perimeter Is 64 Feet

Solve the Problem by Using a Nonlinear System $252 \mathrm{ft}^{2}$ And Its Perimeter Is 64 Feet