Question

The figure is made up of a square and a rectangle. Find the area of the shaded region.

Answer 1

Answer:

$10 \: { \: m}^{2}$

Step-by-step explanation:

area of the shaded region = Area of triangle formed in rectangle with base (10 - 6 = 4) 4m and height 2 m + Area of triangle formed in square with base 2 m and height 6 m

$= \frac{1}{2} \times 4 \times 2 +\frac{1}{2} \times 2\times 6 \\ \\ = 4+6 \\ \\ = 10 \: { \: m}^{2}$

Answer 2

Answer:

shaded region = 10 m squared

Step-by-step explanation:

Area square = 6x6 = 36    Area reatangle 4x2 = 8

both areas = 44

Now lets subtract some white parts to obtain the shaded parts

1/2 of 4x6 = 12

1/2 of 6x6 = 18

1/2 of 4x2 =4

12+18+4= 34

44-34 = 10