Area of Special Quadrilaterals

Reteaching
Name
12-4
Area of Special Quadrilaterals
Find the area of this trapezoid.
Find the area of this kite.
6 in.
2m
4m 4m
5 in.
12 m
2 in.
10 in.
Find the area of each part.
6 in.
5 in.
2 in.
You can find the area of a kite by dividing it
into two identical triangles and finding the
area of each triangle.
2m
6 in.
4m 4m
2 in.
10 in.
12 m 14 m
Each Triangle
A 5 _​ 12 ​bh 5 _​ 12 ​3 2 3 5 5 5 in2
Rectangle
A 5 lw 5 6 3 5 5 30 in2
A 5 _​ 12 ​bh 5 _​ 12 ​3 14 3 4 5 28
The area of the kite is 2 3 28 5 56 m2.
Add the areas together.
5 1 5 1 30 5 40 in2
Find the area of the trapezoid or kite.
1.
2.
6 mm
2 cm
5 cm
11 mm
4 mm
6 mm
5 cm
8 cm
10 cm
4 mm
14 mm
3. Which figure above has a greater area, the trapezoid or the kite? Explain your answer.
R 12•4
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Practice
Name
12-4
Area of Special Quadrilaterals
Find the area of each figure.
1.
5 in.
3.
2 cm
8 cm
6 in.
8 cm
20 cm
22 cm
2 in.
9 in.
2.
4m
4.
1 yd
3 yd
3 yd
7.5 m
8 yd
2m
8m
9m
Solve each problem.
5.Rita wants to paint the area shown at the right. What is the
area that she needs to cover?
12 m
3m
15 m
6.Writing to Explain Joshua received this kite as a gift. The
dimensions were labeled as shown. Joshua says that he does
not have enough information to find the area of the kite. Is he
correct? Explain your answer.
P 12•4
4 in.
6 in.
6 in.
18 in.
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