A parking space shaped like a parallelogram has a base of 17 feet and has a height of 8 feet. A car parked in the space is 13 feet long and 6 feet wide. How much of the parking space is not covered by the car?

Respuesta :

Answer:

The area of the parking space not covered by the car is 58 feet².

Step-by-step explanation:

Given:

A parking space shaped like a parallelogram has a base of 17 feet and has a height of 8 feet.

A car parked in the space whose length is 13 feet and width 6 feet.

Now, to find the parking space not covered by the car.

So, the we get the area of parking space by putting formula:

[tex]Area=base\times height\\\\Area=17\times 8\\\\Area=136\ feet^2.[/tex]

Thus, the area of the parking space is 136 feet².

Now, to get the area of the space where car is parked:

[tex]Area=length\times height\\\\Area=13\times 6\\\\Area=78\ feet^2.[/tex]

Hence, the area where the car is parked is 78 feet².

Now, to get the parking space not covered by the car we subtract the area where the car is parked from the area of the parking space:

[tex]136-78\\\\=58\ feet^2.[/tex]

Therefore, the area of the parking space not covered by the car is 58 feet².

ACCESS MORE