If the length of a rectangle is 6m longer than its width, what is the area if the perimeter is 44m

A = 112 square meters

Step-by-step explanation:

write 2 equations using the given information:

L = W + 6

2L + 2W = 44

plug in (W+6) for L in the 2nd equation:

2 (W+6) + 2W = 44

solve for W:

2W + 12 + 2W = 44

4W + 12 = 44

4W = 32

W = 8

plug in 8 for W in the first equation:

L = 8 + 6

L = 14

Now that you know the length and width, you can solve for the area:

A = LW

A = 14 * 8

A = 112 square meters