The perimeter of a rectangle is 62 feet. The width is seven feet less than the length. Find the length and the width. Show work,

Question

2 years ago

13

please.

1 answer:

lora16 [44] · Answer 1 · 2022-09-06T23:48:33+03:00

Answer:

The answer to your question is length = 19 and width = 12 ft

Step-by-step explanation:

Data

Perimeter = 62 ft

Width = length - 7

Process

1.- Write equations that help to solve this problem

Perimeter = P = 2w + 2l

w = l - 7

2.- Substitution

62 = 2w + 2l Equation l

w = l - 7 Equation ll

Solve the system of equations by substitution

- Substitute equation ll in equation l

62 = 2(l - 7) + 2l

-Simplification

62 = 2l - 14 + 2l

62 + 14 = 4l

76 = 4l

l = 76/4

l = 19 ft

-Find w

w = 19 - 7

w = 12 ft