find the area of the given figure
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Answered by
1
Answer:
4300 is the answer
Step-by-step explanation:
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Answered by
7
Area Of Figure = 900 cm²
Step-by-step explanation:
GIVEN
- AB = 30 cm
- AC = 70 cm
- EF = 10 cm
- FH = 50 cm
___________________________
TO FIND
Area Of Figure
___________________________
We know that,
∆1 = ∆2 = ∆3 = ∆4
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∆1
We know that,
- Area Of Triangle = ½ × Base × Height
Here,
- Base of ∆1 + ∆2 = 30 - 10 = 20 cm
- Base of ∆1 = 20 / 2
- Base of ∆1 = 10 cm
- Height of ∆1 + ∆2 = 70 - 50 = 20 cm
- Height of ∆1 = 20 / 2
- Height of ∆1 = 10 cm
We know that,
- Area Of Triangle = ½ × Base × Height
- Area Of Triangle 1 = ½ × 10 × 10
- Area Of Triangle 1 = ½ × 100
- Area Of Triangle 1 = 50
Area Of Triangle 1 = 50 cm
___________________________
We know that,
- Area Of Rectangle = Length × Breadth
Here,
- Length = 70 cm
- Breadth = 10 cm
We know that,
- Area Of Rectangle = Length × Breadth
- Area Of Rectangle = 70 × 10
- Area Of Rectangle = 700
Area Of Rectangle = 700 cm²
___________________________
We know that,
- ∆1 = ∆2 = ∆3 = ∆4
- ∆1 = ∆2 = ∆3 = ∆4 = 50 cm
- ∆1 + ∆2 + ∆3 + ∆4 = 50 + 50 + 50 + 50
- ∆1 + ∆2 + ∆3 + ∆4 = 200
∆1 + ∆2 + ∆3 + ∆4 = 200 cm²
___________________________
Area Of Figure
We know that,
- Area Of Figure = Area Of Rectangle + Area Of Triangle 1 + 2 + 3 + 4
- Area Of Figure = 700 + 200
- Area Of Figure = 900
Area Of Figure = 900 cm²
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