Question

Jean is making bar graphs for a representation. She is planning for the length and width of the bars to have a ratio of 3:2, so that they satisfy this equation.

2l = 3w

If one of the bars is 7 centimeters wide, what should be it's length. Find and explain how you found the solution to this answer.

A.21 cm

B. 14 cm

C. 10 1/2 cm

D. 4 2/3 cm

Please explain how you found the answer.

Answer 1

Answer: C.
`10(1)/(2)\ cm`

Explanation:

Given: The ratio of length to width = 3:2,such that the equation she formed is

2l=3w

The width of bar w= 7 cm

Then substitute this value in the equation and solve , we get

`2l=3*7\\\Rightarrow2l=21\\\Rightarrow\ l=(21)/(2)\\\Rightarrow\ l=10(1)/(2)`

Hence the length of the bar =
`10(1)/(2)\ cm`