Answer:
width = 17 meters
length = 28 meters
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