Question

writing at the perimeter of a rectangle plot is 174 metre and its breadth is 35 m . find the length and the area of the plot

Answer 1

Perimeter = 2 ( l + b )

      2 ( l + 35 ) = 174

      l + 35 = 87

Therefore, l = 52 m

Area of a rectangle = 52 x 35

                                = 1820 m^2

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Answer 2

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