A parking space shaped like a parallelogram has a base of 18 feet and a height is 9 feet. A car parked in the space is 13 feet long and 5 feet wide. How much of the parking space is not covered by the car?

Step-by-step explanation:

Given:

Parallelogram:

Height, h = 9 ft

Base, b = 18 ft

Rectangle:

Length, l = 13 ft

Width, b = 5 ft

Area of a parallelogram (parking space) = b × h

= 18 × 9

= 162 ft^2

Area of a rectangle (car) = b × l

= 13 × 5

= 65 ft^2

Area not covered by the car = area of the parking space - area of the car

= 162 - 65

= 97 ft^2

% of the parking space = area not covered/area of the parking space × 100

= 97/162 × 100

= 59.88 %

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal