Question

The parking space shown on the right has an area of 216 ft². A custom truck has rectangular dimensions of 12.1 ft by 3.6 ft. Can the truck fit into the space? Justify your answer. The area of the truck is 43.56 ft?. (Type an integer or a decimal.) The missing dimension of the parking space is (Type an integer or a decimal.)

Answer 1

• Yes, the area of the truck is less than the area of the parking space.

,

• The missing dimension of the parking space is 12 ft.

Step-by-step explanation:

The area of the parking space = 216 ft²

Part A

The dimensions of the custom truck = 12.1 ft by 3.6 ft.

To determine if the truck can fit into the space, we calculate the area of the truck.

`\begin{gathered} \text{Area of the truck}=12.1*3.6 \\ =43.56ft^2 \end{gathered}`

Since the area of the truck is less than the area of the parking space, the truck will fit into the space.

Part B

The parking space is in the shape of a parallelogram.

`\text{Area of a parallelogram=Base x Perpendicular Height}`

Given:

• Area = 216 ft²

,

• Base = b ft

,

• Perpendicular Height = 18 ft

We then have:

`\begin{gathered} 216=b*18 \\ 18b=216 \\ b=(216)/(18) \\ b=12\text{ ft} \end{gathered}`

The missing dimension of the parking space is 12 feet.