Answer:
Length of the rectangle is 7 meters
idth of the rectangle is 5 meters
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;
[tex]P=2l+2w[/tex]But we're given that w = l - 2, substituting this into the above formula, we'll have;
[tex]\begin{gathered} P=2l+2(l-2) \\ P=2l+2l-4 \\ P=4l-4 \\ 24=4l-4 \\ 4l=24+4 \\ 4l=28 \\ \frac{4l}{4}=\frac{28}{4} \\ l=7\text{ meters} \end{gathered}[/tex]So the length of the rectangle is 7 meters
Let's go ahead and determine the width;
[tex]\begin{gathered} w=l-2 \\ w=7-2 \\ w=5\text{ meters} \end{gathered}[/tex]So the width of the rectangle is 5 meters
