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in Mathematics by (15.7k points)

The perimeter of a rectangular plot of land is 80 cm and its breadth is 16 m. Find the length and area of the plot.

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by (15.2k points)

Let the length of the rectangular plot is l m. 

Given that breadth and perimeter of the rectangular plot are 16m and 80 m, respectively. 

∴ 2 (l + 6) = 80. (∵ perimeter of rectangle whose sides are a & b is given by 2(a+b)) 

⇒ l + 16 = \(\frac{80}{2}\) = 40 

⇒ l = 40 – 16 = 24. 

Hence, the length of the rectangular plot is 24 m. 

Now, the area of rectangular plot = 24 × 16 = 384 m2.

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