Question

The breadth of a rectangle is 1/6 th of it's perimeter if tge perimeter is 246 m, find it's length and breadth

Answer 1

Breadth = 1/6 × Perimeter

Breadth = 1/6 × 246


Breadth = 41m

Perimeter of rectangle = 2(l+b)
246m = 2(l+42)
246m = 2l + 82m
2 l = 164m
l = 164/2
l = 82m

Answer 2

$\underline \bold {Solution:-}$

Perimeter of the rectangle = 246 m.

It is given that the breadth of the rectangle is 1/6th time of its perimeter.

i.e.,

$breadth = \frac{1}{6} \times perimeter \\ \\ = \frac{1}{6} \times 246 \\ \\ = 41 \: m$

Perimeter of rectangle = 246 m

2 ( length + breadth ) =246 m

$( length + breadth ) = \frac{246}{2} \\ \\ ( length + breadth ) =123 \\ \\ ( length + 41 ) =123 \\ \\ length = 123 - 41 \\ \\ length = 82 \: m$

So, the length of the rectangle is 82 m and the breadth of the rectangle is 41 m.