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. $10\frac{1}{2}\ cm$

Step-by-step 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

$2l=3\times7\\\Rightarrow2l=21\\\Rightarrow\ l=\frac{21}{2}\\\Rightarrow\ l=10\frac{1}{2}$

Hence the length of the bar = $10\frac{1}{2}\ cm$