Question

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

Answer 1

Answer:

Let the breadth of the field = x

So, Length = 3x

Perimeter = 560 m [Given]

Formula for perimeter = 2 (l + b)

Forming an equation, we get,

2 (l + b) = 560 m

Substituting the values,

2 (3x + x) = 560 m

2 x 4x = 560 m

8x = 560 m

Therefore,

$\sf{x=\dfrac{560}{8}}$

x = 70

Therefore,

Breadth = x = 70 m

Length = 3x = 3 x 70 = 210 m

Verification:

We can verify this answer by substituting the values we got in the formula.

We know that,

2 (l + b) = 560 m

2 (210 + 70) = 560 m

2 x 280 = 560 m

LHS = RHS

Hence Verified!

Answer 2

Answer:

Let the breadth of the field = x

So, Length = 3x

Perimeter = 560 m [Given]

Formula for perimeter = 2 (l + b)

Forming an equation, we get,

2 (l + b) = 560 m

Substituting the values,

2 (3x + x) = 560 m

2 x 4x = 560 m

8x = 560 m

Therefore,

$x = \frac{560}{8}$

x = 70

Therefore,

Breadth = x = 70 m

Length = 3x = 3 x 70 = 210 m