The width of a rectangle is three more than twice the length. The perimeter is 96 inches. Find the length and the width.

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

7 0

Answer:

The length of the rectangle is 15 inches and the width is 33 inches

Step-by-step explanation:

The dimensions for the rectangle are as follows:

L=L and W=2L+3

The equation for perimeter of a rectangle is:

P=2l+2w

To Solve:

1. Plug values into perimeter equation

96=2(L)+2(2L+3)

2. Simplify the equation above.

96=2L+4L+6

3. Combine like terms:

96=6L+6

4. Solve for L by subtracting 6 from both sides:

90=6L

5. Solve for L by dividing both sides by 6:

15=L.

6. Plug 15 into the equation for the width:

2(15)+3=w

30+3=w.

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