Question

PLEASE HELP

The plans for a rectangular deck call for the width to be 8 feet less than the length Sam wants the deck to have an overall perimeter of 56 feet

A)32 B)8 C)10 D)26

Answer 1

width = 10 feet → C

let l represent the length then width = l - 8

perimeter = 2(length + width) = 2(l + l - 8)

given perimeter = 56 then

2(2l - 8)= 56

divide both sides by 2

2l - 8 =
`(56)/(2)` = 28

add 8 to both sides

2l = 28 + 8 = 36

divide both sides by 2

l =
`(36)/(2)` = 18

thus length = 18 feet and width = 18 - 8 = 10 feet