the length of a rectangle is 4 less than twice the width. the perimeter of the rectangle is 34 feet. find the length and width o

Question

2 years ago

6

f the rectangle.

1 answer:

Dmitry_Shevchenko [17] · Answer 1 · 2022-08-29T21:58:52+03:00

Answer: The length is 10ft, the width is 7ft.

Step-by-step explanation:

Let L be the length

Let w be the width

The equation for the perimeter is:

2L+2w=34

We also know that L=2w-4

So we can insert L=2w-4 into 2L+2w=34

2(2w-4)+2w=34

4w-8+2w=34

6w=42

w=7

If the width is 7, we can insert it into 2L+2w=34 to find out the length

2L+14=34

2L=20

L=10

The width is 7 ft, the length is 10 ft.