Question

a rectangle has a height to width ratio of 3:4.5. select all the examples of dimensions for rectangles that could be scaled versions of this rectangle.
a) a rectangle measuring 3 units by 9 units
b) a rectangle measuring 6 units by 8 units
c) a rectangle measuring 6 units by 9 units
d) a rectangle measuring 9 units by 13 units
e) a rectangle measuring 9 units by 13.5 units

Explanation:

Step1: Calculate the ratio for each option

For option A: $\frac{3}{9}=\frac{1}{3}
eq\frac{3}{4.5}$
For option B: $\frac{6}{8}=\frac{3}{4}
eq\frac{3}{4.5}$
For option C: $\frac{6}{9}=\frac{2}{3}
eq\frac{3}{4.5}$
For option D: $\frac{9}{13}
eq\frac{3}{4.5}$
For option E: $\frac{9}{13.5}=\frac{3}{4.5}$

Answer:

E. a rectangle measuring 9 units by 13.5 units