Question

a rectangle with dimensions of 6 feet by 9 feet is scaled by a factor of 3. what are the dimensions of the scaled rectangle?
○ a. 18 feet by 27 feet
○ b. 9 feet by 12 feet
○ c. 15 feet by 24 feet
○ d. 18 feet by 24 feet

a city planner creates a scaled map of a residential area. the actual area is is defined by having a length of 800 meters and width of 500 meters. using a scale factor of 0.02, what is the width of the scaled map?
○ a. 5 meters
○ b. 8 meters
○ c. 12 meters
○ d. 10 meters

a rectangular field is 1000 meters long and 600 meters wide. using a scale factor of 0.1, what is the width of the scaled-down field?
○ a. 60 meters
○ b. 80 meters
○ c. 40 meters
○ d. 100 meters

Explanation:

First Question:

Step1: Scale the first dimension

To find the scaled length, multiply the original length (6 feet) by the scale factor (3).
$6\times3 = 18$ feet

Step2: Scale the second dimension

Multiply the original width (9 feet) by the scale factor (3).
$9\times3 = 27$ feet

Step1: Apply scale factor to width

The actual width is 500 meters, and the scale factor is 0.02. Multiply them to get the scaled width.
$500\times0.02 = 10$ meters

Step1: Scale the width

The original width is 600 meters, and the scale factor is 0.1. Multiply them.
$600\times0.1 = 60$ meters

Answer:

a. 18 feet by 27 feet

Second Question: