Question

What is the area of the trapezoid shown below? ​

Answer 1

Answer:

$180units^{2}$

Step-by-step explanation:

$Area = \frac{1}{2} *(a + b )*h$

Here,

(a+b) = sum of the parallel sides

h = perpendicular distance between parallel sides

Before find the area we have to find the perpendicular distance between parallel side by using Pythagorean theorem

$7^{2} + h^{2}= 25^{2}\\49+h^{2} =625 \\h^{2}= 625-49\\h^{2}=576\\h = \sqrt{576} \\h=24$

Now let's find the area

$Area = \frac{1}{2} *(a + b )*h$

$=\frac{1}{2}*(11+4)*24\\=\frac{1}{2}*15*24\\ =180units^{2}$

Hope this helps you.

Let me know if you have any other questions :-)