Question

Sienna planned a trapezoid-shaped garden, as shown in the drawing below. A trapezoid has top side length of 4 inches, bottom side length of 9 inches, and left side length of 6 inches. She decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft. Which expression finds the change in the scale factor? StartFraction 4 inches over 24 feet EndFraction StartFraction 32 feet over 4 inches EndFraction StartFraction 24 feet over 32 feet EndFraction StartFraction 32 feet over 24 feet EndFraction

Answer 1

Answer:StartFraction 24 feet over 32 feet EndFraction

Step-by-step explanation:

To find the expression that represents the change in the scale factor when Sienna changes the length of the top side of the trapezoid-shaped garden from 32 ft to 24 ft, we need to calculate the ratio between the original length and the new length.

The original length of the top side is 32 feet, and the new length is 24 feet.

The scale factor is the ratio of the new length to the original length.

So, the expression that finds the change in the scale factor is:

StartFraction 24 feet over 32 feet EndFraction

Therefore, the correct answer is:

StartFraction 24 feet over 32 feet EndFraction (option c)

Step-by-step explanation:

The scale factor is a ratio that represents the change in size between two similar figures. In this case, the change is in the length of the top side of the trapezoid-shaped garden. By dividing the new length (24 feet) by the original length (32 feet), we get the ratio that represents the change in the scale factor. So, the expression that finds the change in the scale factor is 24 feet over 32 feet.