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Chapter 3: Q. 272 (page 376)

The length of a rectangle is five inches more than twice the width. The perimeter is 34 inches. Find the length and width.

Short Answer

Expert verified

The length is 13inches and width is4inches

Step by step solution

01

Step 1. Given information

The length of a rectangle is five inches more than twice the width

The perimeter is34inches

02

Step 2. Finding length and width of a rectangle

Let be the width.Because length is 5inch more than twice the width,so

Length=2脳width+5

Now substitute the given values in the formula for perimeter P=2L+2W

34=2(2W+5)+2W[P=34]34=4W+10+2W[distribute2]34-10=6W24=6W246=6W6[dividedbothsidesby6]W=4

So,width is4inches and length is2脳4+5=13inches

03

Step 3. Checking

Check the solution by using the formula P=2L+2W

34=2(13)+2(4)34=16+1834=34[true]

Therefore,the length is 13inchesand width is4inches

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