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3 years ago

6

A rectangle is 6 inches longer than it is wide. The perimeter of the rectangle is 44 inches.Write and solve an equation for the

length and width of the rectangle.

1 answer:

Nataly_w [17]3 years ago

5 0

Answer:

Length is 14 in

Width is 8 in

Step-by-step explanation:

<u>Given:</u>

Length = l
Width = w
Perimeter = P = 44 in

<h3>Solution</h3>

<u>Equations as per given:</u>

l - w = 6
P= 2(l+w) = 44 ⇒ l +w = 22

<u>Adding up the two equations:</u>

l - w + l +w = 6 + 22
2l = 28
l = 28/2
l = 14 in

<u>Then finding the value of w:</u>

w = l -6
w = 14 - 6
w = 8 in

<u>Answer:</u> The length of the rectangle is 14 inches and width is 8 inches

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