Find the area of this figure

132 cm squared

Step-by-step explanation:

Find the area of the rectangle on the top first.

Finding the area of a rectangle:

The formula to find the area of a rectangle is to multiply the length by the width. So for your rectangle you would do

7 x 4 = 28cm squared. Keep this is mind and we will move on the the next problem.

The figure under the rectangle is a trapezoid.

To find the area of a trapezoid:

Step 1)

Average the bases.

The dotted line is 7 cm. This is a base.

The line on the very bottom is 19 cm. This is your 2nd base. Find the average of these bases.

(7 + 19) / 2

= 26/2

=13

Step 2)

Multiply this by the height. The height of the trapezoid is 8 cm.

Multiply:

13 x 8

This would get you 104. This is the area of the trapezoid.

Add 104 to the area of the rectangle, 28, to get 132.

The area of the whole figure, therefore, is 132cm squared.

I hope this helps!