10. People of a society decided to make best use of a deserted land by making a parks in the
shape of a triangle as shown in the figure. The land is in the shape of a parallelogram
PORS. In rest of the land, it was decided to plant medicinal herbs like tuisi, neem etc.
i) If the area of the land PQRS is 400 m2, find the area of the park.
in) Also, find the area of land which will be used to plant medicinal herbs.
iii) Which value is depicted by the above situation?
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Answer:
Step-by-step explanation:
Area of a parallelogram = Base x altitude = 200 m²
since PD is an altitude drawn to the base DC
Hence area of the parallelogram = DC x PD = 200
Also the pond is a triangle shaped with DC as base and PD as altitude
Hence area of the pond
= 1/2 x Base x altitude
= 1/2 x DC x PD
= 1/2 x 200
= 100
Area of the medicinal plant = Area of the land - area of the pond
= 200 - 100
= 100 m²
Hence the area where the medicinal plants were grown is 100 m²
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