Question

(PLEASE HELP) Find the area of the given trapezoid.

Answer 1

240 is the answer you're looking for!

Step-by-step explanation:

To find the area, spilt the trapezoid into 3 shapes.

2 triangles (at the ends) and 1 rectangle (the center).

Let's start with the rectangle, the formula for rectangle area is:

$l*w=A$

The length of the rectangle is 12, the width is 20. Add the numbers in:

$12*20=A$

Solve:

$12*20=240$

The area of the rectangle is 240. Now solve for the Triangles.

The formula for finding the area of triangles are is:

$(L*W)/2$

The length of the triangle is 12. To find the width subtract 20 from 30.

L = 12, W = 10. Add in the numbers.

$(12*10)/2 = A$

Use order of operations to solve, start with parenthesis:

$120/2=A$

Rember to divide it by 2 because a triangle is half of a rectangle.

$60 =A$

Since there are two identical triangles, you don't need to solve for the other

Now, add the areas together:

$60 + 120+60=A$

Then solve:

$180+60=A$

$240=A$

The correct answer is 240.