Answer:
40 m²
Explanation:
First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.
Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.
Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:
p = 2l + 2w
26 = 2(w + 3) + 2w
Simplify and solve for w:
26 = 2w + 6 + 2w
26 = 4w + 6
20 = 4w
5 = w
Find the length by adding 3 to this:
5 + 3
= 8
Now, find the area using the area formula, A = lw
Plug in the length and width:
A = lw
A = 8(5)
A = 40
So, the area of the rectangle is 40 m²