the perimeter of a rectangular plot is 174 metre and its breadth is 35 metre find the length and the area of the plot
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Answer:
Perimeter: 2(L+w) = p
L+w = p/2
L + 35 = 174/2
L = 87 - 35
L = 52
The plot is 52 by 35 meters
Area = Length*width
A = 52(35) = 1,820 m2
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Perimeter of Rectangular Plot = 2 × (Length + Breadth)
⇒ Perimeter of Rectangular Plot = (2 × Length) + (2 × Breadth)
⇒ Perimeter of Rectangular Plot = (2 × Length) + (2 × 35 m)
⇒ Perimeter of Rectangular Plot = (2 × Length) + 70 m
⇒ 174 m = (2 × Length) + 70 m
⇒ 174 m - 70 m = (2 × Length)
⇒ 104 m = (2 × Length)
⇒ 104 m/2 = Length
⇒ Length = 52 m
Area of Rectangular Plot = Length × Breadth
⇒ Area of Rectangular Plot = 52 m × 35 m
⇒ Area of Rectangular Plot = 52 × 35 m²
⇒ Area of Rectangular Plot = 1820 m²
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