Question

the perimeter of a rectangle is 34 units. its width is 6.5 units. write an equation to determine the length (l) of the rectangle. find the length of the rectangle.

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$, where $P$ is the perimeter, $l$ is the length and $w$ is the width. Given $P = 34$ and $w=6.5$, the equation is $34 = 2(l + 6.5)$.

Step2: Solve the equation for $l$

First, divide both sides of the equation $34 = 2(l + 6.5)$ by 2: $\frac{34}{2}=l + 6.5$, which simplifies to $17=l + 6.5$. Then subtract 6.5 from both sides: $l=17 - 6.5$.

Answer:

The equation is $34 = 2(l + 6.5)$ and the length $l = 10.5$ units.