Answer:
length = 36 in and width = 6 in
Explanation:
let width be w then length (l) = 6w
perimeter = 2l + 2w = 2(6w) + 2w, that is
perimeter = 12w + 2w = 84, so
14w = 84 ( divide both sides by 14 )
w = 6
Thus
width = 6 in
length = 6w = 6 × 6 = 36 in
L=36
W=6
If the length is six times the width than the width is equal to x. This would make the length 6x or 6 times x. The perimeter of the rectangle is all of the sides added together. So 6x+6x+x+x=14x
The perimeter equals 84 which gives you
14x=84
Divide by 14 on each side and x=6
The length is six times longer than the width which is 6x6 or 36 and the width would just remain 6.
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