The length of a rectangular football ground is twice its width. Its perimeter is equal to the perimeter of square field of side 90 meteres. Find the area of the rectangular ground in hectares.
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Step-by-step explanation:
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The area of the rectangular ground in 0.72 hectares
Step-by-step explanation:
- Given data
Side of square (a) = 90 m
Perimeter of square (P) = 4×Side
Perimeter of square (P) = 4×90 = 360 m
- Given that
Width of rectangle (B)= X
Length of rectangle (L)= 2X
- We know that
Perimeter of rectangle = 2(L+B)
- Again it is given that perimeter of rectangle is equal to the perimeter of square. Means
Perimeter of rectangle = Perimeter of square
- 2(L+B) = 360
2(2X +X) =360
2×3X =360
6X =360
X = 60
- So
Width of rectangle (B)= X = 60 m
Length of rectangle (L)= 2X = 2× 60 = 120 m
- We know the area of rectangle that
Area of rectangle = Length× Width
Area of rectangle = 120× 60= 7200 m² = 0.72 Hectares
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