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

C. 24 inches by 15 inches

Explanation:

Given

`Rectangle: 8\ by\ 5\ inches`

Required

Determine the scale copies

To do this, we calculate the ratio.

`Ratio = (Actual)/(Measured)`

Analyzing A.

Sides: 1.4 by 2.5 inches

We start by calculating ratio of each sides;

Length:

`Ratio =(8)/(1.4)`

`Ratio = (40)/(7)`

Width:

`Ratio = (5)/(2.5)`

`Ratio = 2`

Analyzing B.

Sides: 15 inches by 10 inches

Length

`Ratio = (8)/(15)`

Width:

`Ratio = (5)/(10)`

`Ratio = (1)/(2)`

Both ratios are not equal

Analyzing C.

24 inches by 15 inches

Length

`Ratio = (8)/(24)`

`Ratio = (1)/(3)`

Width:

`Ratio = (5)/(15)`

`Ratio = (1)/(3)`

Both ratios are equal

Analyzing D.

Sides: 9 inches by 6 inches

Length

`Ratio = (8)/(9)`

Width

`Ratio = (5)/(6)`

Both ratios are not equal

Option C answers the question because both ratio are equal