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Chapter 10: Problem 48

A rectangular field is 70 feet long and 30 feet wide. If fencing costs \(\$ 8\) per yard, how much will it cost to enclose the field?

Short Answer

Expert verified
\$533.36

Step by step solution

01

Calculate the perimeter of the rectangular field

The formula for the perimeter of a rectangle is \( P = 2l + 2w \) where \( l \) is the length and \( w \) the width. In this case, \( l = 70 \) feet and \( w = 30 \) feet. So the perimeter is \( P = 2*70 + 2*30 = 200 \) feet
02

Convert the perimeter into yards

The cost of fencing is given in yards, so you will need to convert the perimeter from feet to yards. Use the conversion factor \(1 yard = 3 feet \). Therefore, \( P = 200 feet = \frac{200 feet}{3} \approx 66.67 yards \)
03

Calculate the total cost

The cost of fencing is given as \( \$8 \) per yard. To calculate the total cost, multiply the cost per yard by the total number of yards. So, the cost is \( \$8 * 66.67 yards = \$533.36 \)

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Most popular questions from this chapter

Make Sense? In Exercises 56-59, determine whether each statement makes sense or does not make sense, and explain your reasoning. Use a quadratic equation to solve this problem. The width of a rectangular carpet is 7 meters shorter than the length, and the diagonal is 1 meter longer than the length. What are the carpet's dimensions?

What is self-similarity? Describe an object in nature that has this characteristic.

Use the Pythagorean Theorem to solve Exercises 39-46. Use your calculator to find square roots, rounding, if necessary, to the nearest tenth. A flagpole has a height of 10 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 4 yards below the top of the pole and attached to the ground at a point that is 8 yards from the base of the pole. Find the total number of yards of cable that will be required.

What are complementary angles? Describe how to find the measure of an angle's complement.

In your own words, state the Pythagorean Theorem.
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