The parking lot next to a business is shaped like a trapezoid. The shorter base and height are both 60 feet long. The longer base is twice as long as the shorter base. Write and Evaluate an expression to find the area of the parking lot. Explain your reasoning.

Step-by-step explanation:

A trapezoid is a quadrilateral,

The area of a trapezoid is given as

Area = 1/2 (a+b) h

A = (a+b) h/2

Where are b are the two parallel side and h is the height

Given that

Let the shorter base = a

Longer base = b

Height = h

The shorter base and height are both 60 feet long.

Therefore, the height = shorter base

h=a

The base is 60ft. i. e a=60ft

And the height is 60ft, i. e h=60ft

The longer base is twice as long as the shorter base.

i. e the longer base b = 2 * a=

b=2a

b=2*60

a

b=120ft

Then,

Area = (a+b) h/2

since h=a, and b=2a

Then the area becomes

Area = (a+2a) a/2

Area = (3a) a/2

Area=3a²/2

The expression for the Area is

Area=3a²/2

Evaluating the area

Area=3a²/2. Given that a = 60ft

Then,

Area=3 (60²) / 2

Area=3 (3600) / 2

Area=5400ft²