Answer:
The height of the Trapezoid is 20 inches
Step-by-step explanation:
Given Parameters
Shape: Trapezoid
Area of the Trapezoid = 800in²
Sum of opposite parallel sides = 80 in
Required: Height of the Trapezoid...
Are of trapezoid is calculated using the following formula:
A = ½(a + b) * h
Where a + b = sum of the opposite parallel sides
h = height.
A = Area.
By comparison, we have that
A = 800 in²
a + b = 80 in
By substituton, we have that
A = ½(a + b) * h becomes
800 = ½(80)h
800 = ½ * 80 * h
800 = 40 h---- divide through by 40
800/40 = 40h/40
20 = h --- reordsr
h = 20in
Hence, the height of the Trapezoid is 20 inches
