Find the area of the polygon in adjoining figure.
Answers
Answer:
there are 4 part in this figure
- TRIANGLE EDC
- TRIANGLE. EFA
- TRIANGLE. CHB
- TRAPEZIUM. ABHF
Step-by-step explanation:
Area of triangle EDC= ½ × base × height
= ½×20×3
=10×3
=30 cm²
Area of triangle EFA=½ × base × height
=½ × 5 × 7
=2.5×7
= 17.5 cm²
Area of triangle CHB=½ × b × h
= ½ × 7 × 5
=3.5 × 5
=17.5 cm²
Area of trapezium ABHF= ½( sum of length of parallel sides ) × h
=½ × (8+8) × 5
=½ × 16 × 5
=8×5. ( 16 is divided by 2 )
=40 cm²
Area of the figure= AREA OF TRIANGLE EDC + AREA OF TRIANGLE EFA + AREA OF TRIANGLE CHB + AREA OF TRAPEZIUM ABHF
= 30 + 17.5 + 17.5 + 40
=105 CM²
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Answer:
105CM 2 is the answer for your question