The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the rectangle is

Question

natima [27]

2 years ago

10

The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the rectangle is

28 inches, what is the width and length of the rectangle?

Mathematics

1 answer:

Naily [24] · Answer 1 · 2022-03-11T14:17:09+03:00

Naily [24]2 years ago

6 0

Perimeter = 2L + 2w
in this case, L = 3w - 2 and perimeter = 28.
so, 28 = 2L + 2w. or 14 = L + w. or substitute for L: (3w - 2) +w =14
or 4w - 2 = 14. 4w = 12. 12/4 = 3 = w.
The width = 3 inches; and the length = (3x3 -2) 7 inches.