Figure 1-3

-Refer to Figure 1-3.Calculate the area of the trapezoid X.
A)$270
B)$720
C)$810
D)$2,520

Question

Figure 1-3
 
-Refer to Figure 1-3.Calculate the area of the trapezoid X.
A)$270 
B)$720 
C)$810 
D)$2,520

Quizplus · Accepted Answer

To calculate the area of the trapezoid X, we need to first calculate the length of its height h. 
h can be calculated using the Pythagorean theorem: 
h^2 = 45^2 - (30+15)^2 
h^2 = 2025 - 2025 
h = 0

This means that the trapezoid X is actually a rectangle, with height 0 and base lengths of 45 and 30+15=45. 
Therefore, its area is 45*0 = 0.

Option A and B can be immediately eliminated since they give a non-zero answer. 
Option D can also be eliminated since its answer is too large, given that the area of trapezoid Y is 675. 
Therefore, the best choice is C, which is 810.

Figure 1-3 -Refer to Figure 1-3.Calculate the Area of the Trapezoid X