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

User DrJones
by
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1 Answer

4 votes

Answer:

A = 112 square meters

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

User Riccardo Petraglia
by
8.1k points

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