Question

the ratio of the length of a rectangle to its width 3:2. Give 3 possible dimensions of the rectangle in cm

Answer 1

Answer:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

Step-by-step explanation:

The ratio 3:2 is length:width. This means that if you were to simplify the values by a common factor, the result would always be $\frac{3}{2} = \frac{length}{width}$.

To find three dimensions, pick any random three numbers and multiply one by one to both numerator and denominator:

$1,2,3\\\\\frac{3}{2}(\frac{1}{1} )= \frac{3}{2} \\\\\frac{3}{2} (\frac{2}{2} )=\frac{6}{4}\\\\\frac{3}{2} (\frac{3}{3} )=\frac{9}{6}$

Convert the given ratios to length and width:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

If you were to simplify each, the result would be 3:2.

:Done