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Chapter 3: Q. 412 (page 409)

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

Short Answer

Expert verified

The length and width of the given rectangle is 15inchesand 33inches.

Step by step solution

01

Step 1. Given information.

Consider the given question,

Perimeter of the given rectangle is 96inches.

02

Step 2. Find the length and the width.

Assume l and w to be the length and width of the rectangle. Then,

w=3+2l

We know the formula of the perimeter of the rectangle is given below,

P=2l+w......(i)96=2l+3+2l48=3l+3l=15inches

Then,

w=3+215w=3+30w=33inches

03

Step 3. Check the answer.

Substitute the values in equation (i),

P=215+33P=248P=96inches

Hence, the values of the length and width obtained is correct.

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