Question

the davidson are moving into a house and have rented a trailer to transport boxes to move.they bought cardboard boxes in which they will pack their belongings. the trailer had 280 cubic ft of cargo space. the height of the trailer is 7.5 ft and the width is 5 ft. the perimeter of the base of the trailer is 20 ft. They need to know the dimensions of the trailer so they can maximize space while packing boxes. what is the length and width of the trailer in ft. show me how to work it out. it's 3 more questions to this.

Answer 1

Given:

Volume of trailer space = 180 cubic ft

Height of trailer, h = 7.5 ft

Width of trailer, w = 4 ft

Perimeter of base of the trailer, P = 20 ft

Let's find the dimensions of the trailer.

Apply the perimeter of a rectangle formula:

P = 2L + 2W

Input values into the formula:

20 = 2L + 2(4)

20 = 2L + 8

Subtract 8 from both sides:

20 - 8 = 2L + 8 - 8

12 = 2L

Divide both sides by 2:

`\begin{gathered} (12)/(2)=(2L)/(2) \\ \\ 6=L \\ \\ L=6 \end{gathered}`

The length of the trailer is 6 ft

The width of the trailer is 4 ft (the width was given)

ANSWER:

Length of the trailer = 6 ft

Width of the trailer = 4 ft