Question

Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B. 1. 4 inches by 2.5 inches 2. 15 inches by 10 inches 3. 24 inches by 15 inches 4. 9 inches by 6 inches

Answer 1

Answer:

C. 24 inches by 15 inches

Step-by-step explanation:

Given

$Rectangle: 8\ by\ 5\ inches$

Required

Determine the scale copies

To do this, we calculate the ratio.

$Ratio = \frac{Actual}{Measured}$

Analyzing A.

Sides: 1.4 by 2.5 inches

We start by calculating ratio of each sides;

Length:

$Ratio =\frac{8}{1.4}$

$Ratio = \frac{40}{7}$

Width:

$Ratio = \frac{5}{2.5}$

$Ratio = 2$

Analyzing B.

Sides: 15 inches by 10 inches

Length

$Ratio = \frac{8}{15}$

Width:

$Ratio = \frac{5}{10}$

$Ratio = \frac{1}{2}$

Both ratios are not equal

Analyzing C.

24 inches by 15 inches

Length

$Ratio = \frac{8}{24}$

$Ratio = \frac{1}{3}$

Width:

$Ratio = \frac{5}{15}$

$Ratio = \frac{1}{3}$

Both ratios are equal

Analyzing D.

Sides: 9 inches by 6 inches

Length

$Ratio = \frac{8}{9}$

Width

$Ratio = \frac{5}{6}$

Both ratios are not equal

Option C answers the question because both ratio are equal