Question

rectangle a measures 9 in by 3 in rectangle B is a scaled copy of rectangle a select all the measurements players that could be dimensions of rectangle B?A.4.5 by 1.5 InchesB.8 inches by 2 inchesC.10 Inches by 4 inchesD.13.5 inches by 4.5 inchesE.90 inches by 30 inches

Answer 1

Given the dimensions od rectangle A:

9 in by 3 in

Since rectangle B is a scaled copy of rectangle A, this means that rectangle B and rectangle A has the same scale factor, they have the same shape but maybe different dimensions.

The scale factor of rectangle A:

$\frac{9}{3}=\text{ 3}$

Now, let's check the answer choices for a similar scale factor of 3:

A. 4.5 by 1.5:

$\frac{4.5}{1.5}\text{ = 3}$

B. 8 inches by 2 inches:

$\frac{8}{2}\text{ = 4}$

C.10 Inches by 4 inches:

$\frac{10}{4}\text{ = 2.5}$

D. 13.5 inches by 4.5 inches:

$\frac{13.5}{4.5}\text{ = }3$

E. 90 inches by 30 inches:

$\frac{90}{30}=3$

We can see that options A, D and E are correct

ANSWER:

A. 4.5 by 1.5 Inches

D. 13.5 inches by 4.5 inches

E. 90 inches by 30 inches