# A rectangle has a perimeter of 50 cm. If the ratio of its length to its width is 3:2, find the length of the rectangle?

##### 3 Answers

Length is

#### Explanation:

As length and width are in the ratio of

then perimeter is

Hence

or

and length is

Length

#### Explanation:

Perimeter #(P) is the total distance around the sides.

Let length

We are told that the ratio of

Substitute for

But

Substitute

#### Explanation:

#"sum the parts of the ratio "3+2=5#

#P=2(l+b)=50#

#l+b=50/2=25#

#25/5=5larrcolor(blue)"1 part"#

#"length (l)"=5xx3=15" cm"#

#"breadth (b)"=5xx2=10" cm"#

#P=2(15+10)=2xx25=50" cm"#