6) You have a rectangular backyard that is 90 feet wide. It has an area of 10,800 square feet. You are

putting a fence along one length of the yard.

a. Use the formula for the area of a rectangle A = 1 w, where I is the length, and w is the width. Find

the length of your backyard.

b. The fence costs $12.50 per linear foot. What is the total cost of the fence for one length of the yard?

To find the length of the backyard, use the formula A = length x width and solve for length. The total cost of the fence is found by multiplying the length by the cost per linear foot.

Explanation:

To find the length of the rectangular backyard, we can use the formula for the area of a rectangle, A = length x width. Given that the width is 90 feet and the area is 10,800 square feet, we can plug in these values into the formula: 10,800 = length x 90. To solve for the length, divide both sides of the equation by 90: length = 10,800 / 90 = 120 feet.

To calculate the total cost of the fence for one length of the yard, we need to multiply the length of the yard by the cost per linear foot of the fence. Given that the length is 120 feet and the cost per linear foot is $12.50, we can calculate the total cost by multiplying these values: total cost = length x cost per linear foot = 120 x $12.50 = $1500.

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danielgrantjohn danielgrantjohn · Answer 2 · 2023-12-26T04:55:51-05:00

Answer:

Length = 120 ft

Total cost = 1500$

Step-by-step explanation:

First, to find the length of the backyard we reverse the formula (A = l * w) and divide 10,800 by 90.

10,800 ft^2 / 90 ft = 120 ft.

we can check this by plugging the length of 120 ft into the formula:

120 ft * 90 ft = 10,800 ft^2.

Next, to find the cost of the single length of fence we multiply our length (120 ft) by the cost ($12.50):

120 * 12.50 = $1500