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NeX [460]
2 years ago
15

a yard width is 2 less than it's length. If the perimeter of the yard is 20 feet determine the length and the width of the yard

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
5 0

Answer:

The length is 6 feet and the width is 4 feet

Step-by-step explanation:

Let x represent the length of the yard

The width can be represented by x - 2, since it is 2 less than the length.

Use the perimeter formula, P = 2l + 2w, where l is the length and w is width

Plug in the expressions and perimeter:

20 = 2x + 2(x - 2)

Solve for x:

20 = 2x + 2x - 4

20 = 4x - 4

24 = 4x

6 = x

So, the length is 6. Plug this into x - 2 to find the width

x - 2

6 - 2

= 4

So, the length is 6 feet and the width is 4 feet

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Hiya. I'm going to rewrite the second equation.

By subtracting 5x by both sides, I'll be able to have y by itself:

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I'm going to then divide both sides by -1 to get:

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