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Chapter 5: Q. 5.44 (page 608)

The perimeter of a rectangle is 58. The length is 5 more than three times the width. Find the length and width of the rectangle.

Short Answer

Expert verified

The length of rectangle is 17 and the width of the rectangle is 12.

Step by step solution

01

Step 1. Given Information 

The perimeter of a rectangle is 58. The length is 5 more than three times the width. Find the length and width of the rectangle.

02

Step 2. We know that the perimeter of rectangle is P=2(l+b), where l=length of the rectangle and b=width of the rectangle..

The perimeter of a rectangle is 58 .

So P=58

The length is 5 more than the width.

l=b+5

03

Step 3. Putting the value of P and l in the formula of perimeter.

P=2(l+b)58=2(b+5+b)58=2(2b+5)58=4b+10Subtractby10onbothside58-10=4b+10-1048=4b4b=48Divideby4onbothside44b=484b=12

04

Step 4. Putting the value of b in the equation l=b+5.

l=12+5l=17

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