Debra has a rectangular garden. The length is six less than twice the width. The perimeter of her garden is 90 meters. What is the width and the length of the garden?

width = 17 meters

length = 28 meters

Step-by-step explanation:

Since we are told that the length is equal to 6 less than twice the width, and we know that the perimeter of a rectangle is calculated by adding all the sides together, then we can create the following formula to calculate both the length (l) and width (w).

l = 2w-6

l + l + w + w = 90 ... substitute l with its formula

(2w-6) + (2w-6) + w + w = 90 ... combine like terms

6w - 12 = 90 ... add 12 on both sides

6w = 102 ... divide both sides by 6

w = 17 meters

Now that we know the width we can plug it into the length formula and solve for the length

l = 2w - 6

l = 2(17) - 6

l = 34 - 6

l = 28 meters

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answer: 40.95

step-by-step explanation: