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, please.

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                                        

x = 23.78

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)