he dimensions of a trapezoid are shown below.
What is the area of the trapezoid in square centimeters?
Responses
A 390 cm2390 cm 2
B 195 cm2195 cm 2
C 180 cm2180 cm 2
D 360 cm2
First, we need to calculate the area of a trapezoid using the formula A = (1/2)h(b1 + b2), where A is the area, h is the height, b1 is the length of the top base, and b2 is the length of the bottom base.
In this case, the height is 15 cm, the length of the top base is 30 cm, and the length of the bottom base is 40 cm.
A = (1/2)(15)(30 + 40)
A = (1/2)(15)(70)
A = (7.5)(70)
A = 525 cm^2
Therefore, the area of the trapezoid is 525 square centimeters.
The closest response is D, 360 cm^2, but the actual area is 525 cm^2.