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Chapter 2: Q. 73 (page 113)

Fencing Micah has 74feet of fencing to make a dog run in his yard. He wants the length to be 2.5feet more than the width. Find the length, L, by solving the equation 2L+2(L鈭�2.5)=74.

Short Answer

Expert verified

The length L=19.75

Step by step solution

01

Step 1. Given Information 

Micah has 74feet of fencing to make a dog run in his yard.

He wants the length to be 2.5feet more than the width.

The equation is role="math" localid="1645515923581" 2L+2(L鈭�2.5)=74.

We have to find the length,L, by solving the equation.

02

Step 3. The equation is 2L+2(L−2.5)=74

Distribute first.

2L+2脳L鈭�2脳2.5=74

Simplify

2L+2L鈭�5=74

Combine like term.

4L鈭�5=74

03

Step 3. Add 5 on both side

4L鈭�5+5=74+54L=79

Divide by 4 on both side

44L=794L=19.75

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