Question

The ratio of the breadth of a piece of cardboard to its length is 1:2.
If the perimeter of the piece of cardboard is 24 cm long, what is the
length of the cardboard?
​

Answer 1

Answer:

16 cm

Step-by-step explanation:

let the constant be x

therefore 1x+2x=24cm

or 3x=24cm

or x=8cm

given that length is 2x

therefore length=2×8cm

or 16cm

Answer 2

ANSWER:-

Length of cardboard is 8cm.

$\rule{400}{2}$

EXPLANATION:-

GIVEN:-

Ratio of Breadth and length=1:2

Perimeter of rectagular cardboard=24cm

$\rule{400}{2}$

TO FIND:-

Length of rectangular cardboard

$\rule{400}{2}$

SOLUTION:-

Let us assume the ratio of breadth to length be x:2x.

So length will be 2x and breadth will be x.

$\rule{400}{2}$

Now we have formula for perimeter:

★ Perimeter of rectangle=2(L+B)

=> 24cm=2(2x+x)

=> 24cm=2(3x)

=> 24cm=6x

Now we can see that both LHS and RHS have 6 as a common factor.

So divide 6 from both sides.

=> 4cm=x

$\rule{400}{2}$

According to our assumption we got value of perimeter=2x

Perimeter=2x

=> 2×4cm

=> 8cm

So the required length of rectagular cardboard is 8cm.

$\rule{400}{2}$

ADDITIONAL INFORMATION:

More important formulae:-

★ Area of rectangle=Length×Breadth

★ Area of Square=Side²

★ Area of trapezium=½×(Sum of ||Sides)×Height

★ Area of circle=πr²

★ Perimeter of square=4×Side

★ Perimeter of circle=2πr

$\rule{400}{2}$