The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 26 m , find its area.

40 m²

Step-by-step 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

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