Question

The width of a rectangle is 2 meters less than its length and the perimeter is 24 meters find the length and width of the rectangle

Answer 1

Length of the rectangle is 7 meters

idth of the rectangle is 5 meters

Step-by-step explanation:

Given:

Width(w) = Length(l) - 2

Perimeter (P) = 24 meters

To find:

The length and the width of the rectangle

Recall the below formula for the perimeter(P) of a rectangle;

`P=2l+2w`

But we're given that w = l - 2, substituting this into the above formula, we'll have;

`\begin{gathered} P=2l+2(l-2) \\ P=2l+2l-4 \\ P=4l-4 \\ 24=4l-4 \\ 4l=24+4 \\ 4l=28 \\ (4l)/(4)=(28)/(4) \\ l=7\text{ meters} \end{gathered}`

So the length of the rectangle is 7 meters

Let's go ahead and determine the width;

`\begin{gathered} w=l-2 \\ w=7-2 \\ w=5\text{ meters} \end{gathered}`

So the width of the rectangle is 5 meters