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Find the area of plot l m n o p q.
Answer with full explanation of sum
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Answer:
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Area of the plot LMNOPQ is 39337.5 sq units
Step-by-step explanation:
We know that
Area of a triangle
= 1/2 × Base × height
Area of a trapezium
= 1/2 × (sum of parallel sides) × height
Area of triangle LQS
= 1/2 × LS × SQ
= 1/2 × (50 + 50) × 90
= 4500 sq units
Area of trapezium QSTP
= 1/2 × (QS + PT) × ST
= 1/2 × (90 + 95) × 70
= 6475 sq units
Area of triangle PTO
= 1/2 × TO × PT
= 1/2 × (60 + 75) × 95
= 6412.5 sq units
Area of triangle UON
= 1/2 × UO × UN
= 1/2 × 75 × 100
= 3750 sq units
Area of trapezium RUNM
= 1/2 × (RM + UN) × RU
= 1/2 × (80 + 100) × (50 + 70 + 60)
= 1/2 × 180 × 180
= 16200 sq units
Area of triangle LRM
= 1/2 × LR × RM
= 1/2 × 50 × 80
= 2000 sq units
Therefore, the area of the plot LMNOPQ
= 4500 + 6475 + 6412.5 + 3750 + 16200 + 2000
= 39337.5 sq units
Hope this answer is helpful.
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