Question

if the breadth of rectangle in one fourth of its length and perimeter is 60 cm ,find the length and breadth of rectangle​

Answer 1

Breadth/width = 1.936cm, length = 7.746cm

Explanation:

Perimeter of a rectangle would be
`2L*2W=60cm` in this case. Breadth is width.

But we can rewrite this equation given that the width is 1/4 the length. This means 4 of the widths would equal one length.

`W=(1)/(4)L`

`L=4W`

We can substitute L with the 4W

`2(4W)*2(W)=60cm`

Now we can just solve for the width W.

`8W*2W=60\\16W^2=60\\W^2=(15)/(4) \\W=\sqrt{(15)/(4) } \\W=(√(15) )/(2)=1.936cm`

We now know the width is about 1.936cm

We can find the length given our formula before of
`L=4W`

`L=4(\sqrt{(15)/(2) } )=2√(15) =7.746cm`

So the breadth/width is 1.936cm and the length is 7.746cm.