The perimeter of a rectangle is 86. The length of the rectangle is one more than twice the width. Determine the length and width

Question

3 years ago

15

of the rectangle.

1 answer:

nordsb [41] · Answer 1 · 2022-11-07T14:08:06+03:00

There are two equation of the system

(1) The perimeter

2(w + l) = p

2(w + l) = 86

(2) The length and the width

2w = l + 2

From the second equation

2w = l + 2

l + 2 = 2w

l = 2w - 2

Subtitute l with 2w - 2 in the first equation to find the width

2(w + l) = 86

2(w + 2w - 2) = 86

2(3w - 2) = 86

6w - 4 = 86

6w = 90

w = 15

Now, find the length by subtituting w with 15

l = 2w - 2

l = 2(15) - 2

l = 30 - 2

l = 28

The dimension of the rectangle

length = 28 cm

width = 15 cm