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bearhunter [10]
3 years ago
12

One length of a rectangular garden lies along a patio wall however the rest of the garden is enclosed by 36 feet of fencing if t

he length of the garden is twice it's with what is the area of the garden
History
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

162 feet²

Explanation:

One length of a rectangular garden lies along a patio wall.​ However, the rest of the garden is enclosed by 36 feet of fencing. If the length of the garden is twice its​ width, what is the area of the​ garden?

Solution:

Let x represent the length of the garden and y represent the width of the garden. Since the length of the garden is twice its​ width, hence:

x = 2y

Since 36 feet of fencing was used to enclose the rest of the building:

x + y + y = 36

x + 2y = 36

Substitute x = 2y:

2y + 2y = 36

4y = 36

y = 36 / 4

y = 9 feet

Substitute y = 9 to find x:

x = 2y = 2(9) = 18 feet

Therefore the length of the fence is 18 feet and the width is 9 feet.

The area of the garden = length * width = 18 feet * 9 feet = 162 feet²

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