The length of a rectangular shipping pallet is 3 feet less than 3 times its width. Its area is 18 square feet. Find the dimensions of the pallet . Find the dimensions of the pallet

length = 6 feet

Width = 3 feet

Step-by-step explanation:

Let L represent the length of the pallet.

Let W represent the width of the pallet.

The shipping pallet is rectangular.

The length of a rectangular shipping pallet is 3 feet less than 3 times its width. This is expressed as

L = 3W - 3

The formula for determining the area of a rectangle is expressed as

Area = LW

Its area is 18 square feet. This is expressed as

LW = 18- - - - - - - -- - - - 1

Substituting L = 3W - 3 into equation 1, it becomes

W(3W - 3) = 18

3W² - 3W - 18 = 0

Dividing through by 3, it becomes

W² - W - 6 = 0

W² + 2W - 3W - 6 = 0

W(W + 2) - 3(W + 2) = 0

W - 3 = 0 or W + 2 = 0

W = 3 or W = - 2

Since the width cannot be negative, then W = 3

L = 3W - 3 = 3 × 3 - 3

L = 9 - 3 = 6

you need to show us the graph.

step-by-step explanation:

(a) the volume of the cone is 20/3 in3

hence, option a is correct.