Question

work out the area of the shaded shape

Answer 1

Answer:

$\huge\boxed{A=77m^2}$

Step-by-step explanation:

Look at the picture.

We have:

1 - square 5m x 5m

2 - rectangle 3m x 14m

3 - rectangle 5m x 2m

$A_1=5m\cdot5m=25m^2\\A_2=3m\cdot14m=42m^2\\A_3=5m\cdot2m=10m^2$

The area of the shaded shape:

$A=A_1+A_2+A_3$

substitute:

$A=25m^2+42m^2+10m^2=77m^2$

Other solution (look at the second picture).

Calculate the area of the entire large rectangle:

$A_R=8m\cdot14m=112m^2$

Calculate the length $x$:

$x=14m-(5m+2m)=14m-7m=7m$

Calculate the area of the white rectangle:

$A_W=5m\cdot7m=35m^2$

Calculate the area of a shaded shape:

$A=A_R-A_W$

substitute:

$A=112m^2-35m^2=77m^2$