Question

solving equations using perimeter & area of rectangles quiz (8.8c*) the perimeter and area of the rectangle below is the same. if the length is 7 cm, what is the width of the rectangle? 7 cm 7 cm 28 cm 14 cm 2.8 cm

Explanation:

Step1: Recall perimeter and area formulas

Let the width be $w$. The perimeter $P$ of a rectangle is $P = 2(l + w)$ and the area $A$ is $A=l\times w$. Given $l = 7$ cm, $P=2(7 + w)=14 + 2w$ and $A = 7w$.

Step2: Set up the equation

Since $P = A$, we have the equation $14+2w=7w$.

Step3: Solve the equation for $w$

Subtract $2w$ from both sides: $14=7w - 2w$. So, $14 = 5w$. Then $w=\frac{14}{5}=2.8$ cm.

Answer:

D. 2.8 cm