The length of a rectangle is 2 m longer than it’s width. if the perimeter of a the rectangle is 28 m, find it’s area.

Hi!

length = width + 2 m

Perimeter = 2 * length + 2 * width =

= 2 * (width + 2) + 2 * width =

=  2 * width + 4 + 2 * width =

= 4 * width + 4 = 28

4 * width = 28 - 4 = 24

width = 24/4 = 6

length = width + 2 = 6 + 2 = 8

Area = length * width = 6 * 8 = 48 squared meters

Hope this helps!

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