The length of a rectangle is one less than 3 times the width. Draw a picture of the rectangle and then find the dimensions of the rectangle if the perimeter is 54 mm?

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the length of a rectangle is one less than 3 times the width. Draw a picture of the rectangle and then find the dimensions of the rectangle if the perimeter is 54 mm?

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Answer 1 · 2018-04-15T17:07:25

length $= 20$

width $= 7$

"The length of a rectangle is one less than 3 times the width."

which means:

$L= 3w-1$

So we add up the lengths and the widths and set them $=$ to $54$ (the perimeter).

$w + w + 3w -1 + 3w -1 = 54$

$8w-2 = 54$

$8w = 56$

$w = 7$

We plug that into $L = 3w-1$ :

$L = 3(7)-1$

$L = 21-1$

$L = 20$