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How do you get the length and width of a rectangular frame when the perimeter is 66 in The length is 3 in greater than the width?
DianaHubbard
The perimeter is the total of all the sides added up, which is two lengths and two widths. We can write the equation
66 = 2w + 2ℓ
where 66 is perimeter, w is width, and ℓ is length. We can also write equation
ℓ = 3w
because the length is three times greater than the width. We can replace ℓ with 3w in the first equation because the second equation tells us they are the same thing:
66 = 2w + 2*(3w)
Now we have an equation with one variable, so we can solve for that variable (w):
66 = 2w + 2*(3w)
66 = 2w + 6w
66 = 8w
Divide both sides by 8:
8.25 = w
The width is 6.6. We can plug that 6.6 into the equation ℓ = 3w to find the length:
ℓ = 3*8.25
ℓ = 24.75
The length is 24.75.
So the width is 8.25 and the length is 24.75.
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