Answer:
Explanation:
Example 1: all side lengths given (area of the L shape)
Find the area of the compound shape below:
Area of compound shapes example 1
Break down the compound shape into basic shapes.
Split the compound shape into two rectangles. We can do this in two ways:
Area of compound shapes Example 1 Step 1 Image 1
Area of compound shapes Example 1 Step 1 Image 2
For the purposes of this question we will use the first way.
2Find the area of the basic shapes.
Let us label the two rectangles
�
A and
�
B:
Area of compound shapes Example 1 Step 2 Image 1
Area of Rectangle
�
A:
Area of compound shapes Example 1 Step 2 Image 2
Area
�
=
length
×
width
Area
�
=
6
×
5
=
30
Area
A
Area
A
= length × width
=6×5
=30
Area of Rectangle
�
B :
Area of compound shapes Example 1 Step 2 Image 3
Area
�
=
length
×
width
Area
�
=
9
×
4
=
36
Area
B
Area
B
= length × width
=9×4
=36
3Add the areas.
Compound Area
=
Area of
�
+
Area of
�
=
30
+
36
=
66
Compound Area
= Area of A+ Area of B
=30+36
=66
4Write down your final answer with units squared.
Area
=
66
m
2
Area =66 m
2