Solution:
Let the figure be named as follows.
In the ∆ABC,
Given, AB = 8 cm
CD = 10 cm
∴ Area of ∆ABC = ½ × 8 × 10
= 4 × 10
= 40 cm²
In the rectangle CDGE,
Given CD = 10 cm
DG = 20 cm
∴ Area of rectangle CDGE = 10 × 20
= 200 cm²
In the rectangle FGIH,
Given GI = 5 cm
FG = EG – EF
= 10 – 6
= 4 cm
∴ Area of rectangle FGIH = 5 × 4
= 20 cm²
In the ∆KHI,
Given JK = 5 cm
HI = FG = 4 cm
∴ Area of ∆KHI = ½ × 4 × 5
= 2 × 5
= 10 cm²
∴ Total area = 40 + 200 + 20 + 10
= 270 cm²
Answer:
The total area of the given diagram is 270 cm².
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Answers & Comments
Solution:
Let the figure be named as follows.
In the ∆ABC,
Given, AB = 8 cm
CD = 10 cm
∴ Area of ∆ABC = ½ × 8 × 10
= 4 × 10
= 40 cm²
In the rectangle CDGE,
Given CD = 10 cm
DG = 20 cm
∴ Area of rectangle CDGE = 10 × 20
= 200 cm²
In the rectangle FGIH,
Given GI = 5 cm
FG = EG – EF
= 10 – 6
= 4 cm
∴ Area of rectangle FGIH = 5 × 4
= 20 cm²
In the ∆KHI,
Given JK = 5 cm
HI = FG = 4 cm
∴ Area of ∆KHI = ½ × 4 × 5
= 2 × 5
= 10 cm²
∴ Total area = 40 + 200 + 20 + 10
= 270 cm²
Answer:
The total area of the given diagram is 270 cm².