Question

Jordana was shown this diagram of an isosceles trapezoid and its reduction. She was asked to find the perimeter of the reduced trapezoid. Her work is shown below.

A trapezoid with side lengths 30 centimeters, 12 centimeters, and 36 centimeters. A trapezoid with side lengths A, 4 centimeters, B.
Figures not drawn to scale.

Jordana’s Work
Scale factor
StartFraction 4 over 12 EndFraction = one-third
Side A
30 times one-third = 10
Side B
30 times one-third = 10
Perimeter
10 + 10 + 4 + 4 = 28

Where, if any, did Jordana first make a mistake in her work?
Jordana made a mistake when finding the scale factor.
Jordana made a mistake when she calculated the length of side A.
Jordana made a mistake when she calculated the length of side B.
Jordana did not make any mistakes in her work.

Answer 1

Answer:

C: Jordana made a mistake when she calculated the length of side B.

Step-by-step explanation:

Answer 2

Jordana made a mistake while calculating the length of side B.

What is a scale factor?

A scale factor is a factor by which dimensions of an object are enlarged or diminished.

One parallel length i.e. side A of original isosceles trapezoid = 12cm

One parallel length  i.e. side A of reduced isosceles trapezoid =4cm

So, scale factor = 4/12 =1/3

Other parallel length i.e. side B of original isosceles trapezoid =

So, the other parallel length i.e. side B of reduced isosceles trapezoid = 36*1/3 = 12cm

The side lengths of the reduced isosceles trapezoid = 30*1/3 = 10cm

So, the perimeter of the reduced isosceles trapezoid =4+12+10+10 =36cm

While Jordana calculated the length of side B as 4.

Thus, Jordana made a mistake while calculating the length of side B.

To get more about scale factors visit:

https://brainly.com/question/1903243