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liraira [26]
3 years ago
5

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

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

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.

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