Question

What is the area of this figure? Enter your answer in the box.

Answer 1

Answer:

$\text {Area of figure is }44 units^2$

Step-by-step explanation:

Given the figure and we have to find the area of given figure.

Area of figure=ar(ABC)+ar(CDE)+ar(AEFH)+ar(GHF)

From the figure, dimensions according to square boxes can be written as

AE=HF=8 units, EF=3 units, BI=3 units, GH=2 units, AC=CE=4 units.

$ar(ABC)=ar(CDE)=\frac{1}{2}\timesAC\times BI=\frac{1}{2}\times4\times3=6 units^2$

$ar(AEFH)=HF\times EF=8\times 3=24 units^2$

$ar(GHF)=\frac{1}{2}\timesHF\timesGH=\frac{1}{2}\times8\times 2=8units^2$

∴ $\text {Area of figure is }44 units^2$

Answer 2

1/2(4) x 1 = 2

8 x 3 = 24

2( 1/2(4) x 3)= 12

2 + 24 + 12 = 38units^2