The length of a rectangular piece of land is 4ft more than two times its width. The perimeter is 32ft. find the dimensions

1 answer:

3 0

L = 2w + 4

p = 2w + 2L

32 = 2w + 2(2w + 4)

32= 2w + 4w + 8

24 = 6w

4 = w

Now,

p = 2w + 2L
32 = 2(4) + 2L
32= 8 + 2L
24 = 2L
12 = L

check
p= 2w + 2L
32 = 2(4) + 2(12)
32 = 8 +24
32 = 32

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There are a few ways you can write the equivalent of this.

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Or, you can rearrange the terms so the leading coefficient is positive:

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2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.

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Of course, anywhere along the chain of equal signs the expressions are equivalent.

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4) You can also multiply numerator and denominator by some constant, say 3:

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