Question

solving equations using perimeter & area of rectangles quiz (8.8c*)
possible points: 14.29
martha has a rectangular vegetable garden with the same perimeter and area. the length of the vegetable garden is 3 units. what is the width of marthas vegetable garden?
3 units
2.5 units
3.5 units
6 units

Explanation:

Step1: Recall formulas

Let the length be $l = 3$ and the width be $w$. The perimeter formula of a rectangle is $P=2(l + w)=2(3 + w)=6 + 2w$, and the area formula is $A=l\times w=3w$.

Step2: Set up the equation

Since the perimeter and area are the same, we set $6 + 2w=3w$.

Step3: Solve the equation

Subtract $2w$ from both sides: $6+2w - 2w=3w-2w$. So $w = 6$.

Answer:

D. 6 units