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RSB [31]
4 years ago
7

The perimeter of a rectangle is 96 inches. If the

Mathematics
1 answer:
WINSTONCH [101]4 years ago
7 0

Answer:

The width of the rectangle=21 inches

Step-by-step explanation:

<em>Step 1: Determine the dimensions of the rectangle</em>

Width=w

Length=l

But;

triple width=length+36

3×w=l+36

3 w=l+36

The length can be expressed as;

l=3 w-36

width=w

length=3 w-36

<em>Step 2: Determine the perimeter of the rectangle</em>

P=2(L+W)

where;

P=perimeter

L=length

W=width

In our case;

P=96 inches

W=w

L=3 w-36

replacing;

2(w+3 w-36)=96

2(4 w-36)=96

8 w-72=96

8 w=96+72=168

8 w=168

w=168/8=21

The width of the rectangle=21 inches

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