Q:

The figure is made up of 2 rectangles and 2 right triangles.What is the area of the figure? 132 units2 156 units2 168 units2 216 units2A rectangle with a length of 15 and a height of 4. A rectangle with a length of 6 and a height of 4 is atop the first rectangle. A triangle with a short leg length of 4 is atop the second rectangle. A large triangle is on top of the first rectangle and next to the second rectangle.

Accepted Solution

A:
Solve for the area of the rectangles
remember A = L * W
Rectangle 
6 * 4 = 24 
Rectangle 
15*4 = 60

Solve for the area of the triangles
Remember A = (B * H)/2
Triangle 
(6*4)/2 -> 12
For the big triangle you have to take 15 and subtract 6 which is 9
Then you add the height of 4 and 4 which is 8
(9*8)/2
72/2 = 36

Now for the total area of the whole thing, you add up the areas of the rectangles and triangles
24+60+12+36
84+48
132

THE TOTAL AREA OF THIS FIGURE THINGY IS 132 UNITS^2

Hope this helps :)