Question

The perimeter of a rectangle is 40cm. The ratio of its sides is 2:3 its length & breadth are​

Answer 1

Step-by-step explanation:

Perimeter = 40

Ratio of sides =2:3

Let the common factor be X

Let the sides be 2X,3X

P=2(l+b)

=>2(2X+3X)=40

=>10X=40

=>X=4

Sides Are 8 cm, 12cm

Answer 2

Answer:

The length and breadth of the rectangle are 12cm and 8cm respectively.

Step-by-step explanation:

Given that,

The perimeter of a rectangle is 40cm and

The ratio of its sides is 2:3

In other words, we shall consider that,

The ratio of breadth and length of the rectangle is 2:3.

Let the length of the rectangle be $l$ and breadth be $b$.

Therefore,

$\frac{b}{l}=\frac{2}{3}= > b=\frac{2l}{3}-- > (1)$

The perimeter of the rectangle is 40cm.

$= > 2(l+b)=40\\= > l+b=20-- > (2)$

Substituting equation 1 in equation 2, we get

$\frac{2l}{3}+l=20\\= > \frac{5l}{3}=20= > l=12cm$

From eqaution 1,the breadth is

$b=\frac{2\times12}{3}=8cm$

Therefore,

The length and breadth of the rectangle are 12cm and 8cm respectively.

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