The perimeter of a rectangular plot is 174 m and its breadth is 35 m. Find the length
and the area of the plot.
11. A square and a rectangle have equal areas. If each side of the square is 18 cm and the
width of the rectangle is 12 cm, find the length of the rectangle.
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Answer:
length=52m of first question.
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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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