Question

Naomi used a rectangle, a square, and a right triangle to form the following figure.

What is the area of the shaded region of the figure in
eters?
A-120 cm2
B-102 cm2
C-18 cm2
D-9 cm2

Answer 1

B. 102 cm

Explanation:

The first step would be to find the area of the whole figure and subtract the white area off.

So, to do that simply multiply the length x width to get the area of the whole figure.

20 x 6 = 120(area of the whole figure)

Next, 20-11 = 9 is the length of the figure and because the square has a side length of 3, the other side would also have to be 3.

3 x 3 = 9(area of the smaller square.

9-3=6

6-3=3

Area of triangle = Base x Height Divided by 2.

So, 3x6=18/2=9

9+9=18

Finally, subtract 18(total area of white smaller shapes) from 120 and you will get the final answer

102 cm.