the perimeter of a rectangular field is 0.6 km and it's length is twice it's breadth determine the area of the field in hectares
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Step-by-step explanation:
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Answer= 2 hectares
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Solution:
Let breadth be x
So, length = 2x
Given:
⇒ Perimeter = 0.6 km = 600 m
To find:
⇒ Area of rectangular field in hectares.
Formula used:
⇒ Perimeter = 2(length + Breadth)
⇒ Area = Length × Breadth.
So, first we calculated length & breadth of rectangular field.
⇒ Perimeter = 2(length + Breadth)
⇒ 600 = 2(2x + x)
⇒ 600 = 4x + 2x
⇒ 600 = 6x
⇒ x = 100
So, length = 2 × 100 = 200 m = 0.2 km
Breadth = 100 m = 0.1 km
Now, Area of rectangular field = Length × Breadth
⇒ Area = 0.2 × 0.1
⇒ Area = 0.02 km²
As we know 1 km² = 100 hectares
So, 0.02 km² = 2 hectare.
Hence, the area of square field = 2 hectares.
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