Question

A piece of carpet is 360 cm long. Mr. Smith cuts it into three pieces in the ratio 2:3:4. Workout the length of the longest piece of carpet.

Answer 1

160cm

Explanation:

2+3+4= 9

4/9 x 360= 160cm

Answer 2

The longest length of carpet is 160 cm.

Explanation:

Given that the total ratio(units) of the carpet is 9(2+3+4). So first, you have to find the length of carpet in 1 unit :

`9 \: units = 360 \: cm`

`1 \: unit = 360cm / 9`

`1 \: unit = 40 \: cm`

Next, you have to find the length of carpet in 4 ratio as the question wants the longest length :

`4 \: units = 40 \: cm * 4`

`4 \: units = 160 \: cm`