Chapter 2: Q. 73 (page 113)

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

Short Answer

Expert verified

The length $L = 19.75$

Step by step solution

Step 1. Given Information

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

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

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

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

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

Distribute first.

2 L + 2 \times L - 2 \times 2.5 = 74

Simplify

$2 L + 2 L - 5 = 74$

Combine like term.

$4 L - 5 = 74$

Step 3. Add 5 on both side

$4 L - 5 + 5 = 74 + 5 4 L = 79$

Divide by 4 on both side

$\frac{4}{4} L = \frac{79}{4} L = 19.75$

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

Short Answer

Step by step solution

Step 1. Given Information

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

Step 3. Add 5 on both side

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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−2.5)=74.

Short Answer

Step by step solution

Step 1. Given Information

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

Step 3. Add 5 on both side

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

Geometry

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

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