Two plots of land have the same perimeter. One is square in shape with side 50m, and the other is rectangular with a breadth of 15m. Which of the plots has a greater area and by how much?
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Answered by
6
hiiii
Plots have same perimeter.
Side of square field = 64m
perimeter = 64*4 = 256m
length of rectangular plot = 70m
breadth = b
2(70+b) = 256
⇒ 70+b = 256/2 = 128
⇒ b = 128 - 70
⇒ b = 58m
Area of square = 64*64 = 4096 m²
Area of rectangle = 70*58 = 4060 m²
Area of square is more than rectangle by = 4096 - 4060 = 36m²
Answered by
5
Answer:
Square plot has greater area and by 1225 sq. m.
Step-by-step explanation:
Side of square = 50 m.
Perimeter of Square = 4S = 4 * 50 = 200 m.
Breadth of rectangle = 15 m.
Length of rectangle = L m.
Perimeter of Rectangle = 2(L+B) = 200 => 2(L + 15 ) = 200 => L + 15 = 100
=> L = 85 m.
Area of Square = Side² = 50² = 2500 sq. m.
Area of Rectangle = L * B = 15 * 85 = 1275 sq. m.
Thus the Square plot has greater area and by 1225 sq. m.
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