Question

The length of a rectangular field is three times its breadth. If the perimeter of the field is

70m, then find its length and breadth​

Answer 1

Given :-

The length of a rectangular field is three times its breadth.

The perimeter of the field = 70 m

To Find :-

The length of the rectangle.

The breadth of the rectangle.

Analysis :-

Consider the breadth as a variable. Then multiply it thrice to get the length.

Make an equation accordingly.

Get the value of the variable and substitute the value in the length as well.

Solution :-

We know that,

• l = Length
• b = Breadth
• p = Perimeter

Let the breadth be 'x'. Then the length would be '3x'.

By the formula,

$\underline{\boxed{\sf Perimeter \ of \ rectangle=2(Length+Breadth)}}$

Substituting their values,

$\sf 70=2(3x+x)$

$\sf 70=2(4x)$

$\sf 70=8x$

Finding the value of x,

$\sf x=\dfrac{70}{8}$

$\sf x=8.75 \ m$

Breadth = 8.75 m

Length = 3x

= 3 × 8.75 = 26.25 m

Therefore, the length and breadth are 26.25 m and 8.75 m respectively.