Question

The area of a rectangular plot is 460 m2. If the length is 15% more than its breadth,
find the perimeter of the plot.​

Answer 1

Answer:

20 m

Step-by-step explanation:

Let breadth=x meters.   Then, Length =  $\frac{115x}{100}$ meters  

Given that, x × $\frac{115x}{100}$ =460  

=> x = 20  

Breadth = 20 m

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Answer 2

Given:-

→ Area of rectangular plot =460m²

→ Length of the plot is 15% more than it's

breadth.

To find:-

→ Perimeter of the plot

Solution:-

Let the breadth of the plot be 'x'.

Then, length of the plot = 15% of x

=> 15x/100

=> 3x/20

=> x + 3x/20

=> 23x/20

Area of a rectangle = Length × Breadth

=> 23x/20 × x = 460

=> 23x²/20 = 460

=> x² = 460×20/23

=> x² = 400

=> x = 20

Thus,breadth of the plot is 20m

And length = 23×20/20 = 23m

Perimeter of a rectangle = 2(l+b)

=> 2(20+23)

=> 2×43

=> 86m

Hence, perimeter of the plot is 86m.