Question

the length and breadth of the rectangular plot are in the ratio 5 : 3 and the rate of rupees 20 per meter it will the cost rupees 6400 to fans the plot what are the dimensions of the plot​

Answer 1

✤ AnSwer:

• Length = 100m
• Breadth = 60m

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✒ GiVen:

• Ratio of length : Breadth = 5 : 3
• Rate per meter = Rs 20
• Total cost = Rs 6400

✒ To Find:

• Dimensions of the plot.

✒ SoluTion:

• Let us assume the perimeter of the rectangular plot be P.

Now,

$\implies$ P × 20 = 6400

$\implies$ P = 320

• Perimeter = 320m

Also, let us assume the length be 5x and breadth be 3x.

Now, By using the formula,

$\implies$ P = 2 ( l + b )

$\implies$ 320 = 2 ( 5x + 3x )

$\implies$ 320 = 2 ( 8x)

$\implies$ 320 = 16x

$\implies$ x = 20

As we have assumed,

• Length = 5x = 5 × 20 = 100m
• Breadth = 3x = 3 × 20 = 60m

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