Question

The perimeter of a rectangle garden is 50. The width is 5 less than 8 times the length. What are the dimensions of the garden?

Answer 1

LENGTH: 10/3; WIDTH: 65/3

Explanation:

to do this we must first establish variables

let w = width

let l = length

now put them in equations

2w + 2l is for the perimeter

2w + 2l = 50

now the width if 5 less than 8 TIMES the length

so

w = 8l - 5

now plug in w to the other equation

2(8l - 5) + 2l = 50

16l - 10 + 2l = 50

solve

18l = 60

l = 10/3

now plug that into one of the equations to solve for w

w = (8)(10/3) - 5

w = 80/3 - 5

w = 80/3 - 15/3

w = 65/3

that is your answer