Question

The length of a rectangular field is thrice it's breadth. If it's perimeter is 560 m, then it's length is ​

Answer 1

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Given:

Length of a rectangular field is thrice it's breadth.

Perimeter is 560 m.

To Find:

It's Length.

Solution:

ATQ

Length of a rectangular field is thrice it's breadth

Let length of rectangular field be = 3x

And

Breadth of rectangular field = x

Perimeter of rectangular field = 560m

Now as we know perimeter of rectangular field is equivalent to 2(Length + Breadth).

560 = 2(3x + x)

560 = 2(4x)

560 = 8x

x = 70m

3x = 3×70 = 210m

Breadth of rectangular field = x = 70m

Length of rectangular field = 3x = 210m

Hence, Length of rectangular field is 210m.

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Answer 2

Answer:

let the breadth be x.

then,

perimeter= 2(l+b)

560 m. = 2(3x+x)

560 m. = 2×4x

560 m = 4x

2

280 m. = 4x

280 m = x

4

70 m. = x

length= 3x = 3×70

= 210 m

breadth = x= 70 m

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