Answer:
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
