Scale drawing: a rectangle with length 4 feet and width 3.75 feet. Initial dimensions: a rectangle with length 24 feet and width 15 feet. New dimensions: a rectangle with length 20 feet and width 18.75 feet. Abdul planned a pool to be 24-feet long. To fit in his yard, however, the pool can only be 20-feet long. Abdul’s ratio and work is below. Where did he make an error? StartFraction 24 feet divided by 6 over 20 feet divided by 6 EndFraction = StartFraction 4 over 3 EndFraction Abdul’s work is correct. Abdul should have divided by 5, not 6. Abdul should have divided by 4, not 6. This problem has no change in the scale factor
Question
Scale drawing: a rectangle with length 4 feet and width 3.75 feet. Initial dimensions: a rectangle with length 24 feet and width 15 feet. New dimensions: a rectangle with length 20 feet and width 18.75 feet. Abdul planned a pool to be 24-feet long. To fit in his yard, however, the pool can only be 20-feet long. Abdul’s ratio and work is below. Where did he make an error?
StartFraction 24 feet divided by 6 over 20 feet divided by 6 EndFraction = StartFraction 4 over 3 EndFraction Abdul’s work is correct. Abdul should have divided by 5, not 6. Abdul should have divided by 4, not 6. This problem has no change in the scale factor
Solution 1
Abdul should have divided by 5, not 6.
Here's why:
The original length of the pool is 24 feet, and he wants to reduce it to 20 feet. To find the scale factor, you divide the new length by the original length.
So, the scale factor should be 20/24 = 0.8333.
If Abdul had divided by 5 instead of 6, he would have gotten the correct scale factor.
24/5 = 4.8 and 20/5 = 4.
So, the scale factor is 4/4.8 = 0.8333, which matches the correct scale factor.
Therefore, Abdul should have divided by 5, not 6.
Solution 2
Abdul should have divided by 5, not 6.
Here's why:
The original length of the pool is 24 feet, and he wants to reduce it to 20 feet. To find the scale factor, you divide the new length by the original length.
So, the scale factor should be 20/24 = 0.8333.
If Abdul had divided by 5 instead of 6, he would have gotten the correct scale factor.
24/5 = 4.8 and 20/5 = 4.
So, the scale factor would be 4/4.8 = 0.8333, which is the correct scale factor.
Therefore, Abdul should have divided by 5, not 6.
Similar Questions
Sienna planned a rectangular pool, as shown in the scale drawing below. A rectangle with length 11 inches and width 7 inches. Sienna used the scale drawing above to create a pool that is 14 ft wide mc005-2.jpg 22 ft long. She then decided to make a pool with a final length of 33 ft. Which expression finds the change in scale factor for the longer pool Sienna is building? StartFraction 11 inches over 27.5 feet EndFraction StartFraction 22 feet over 11 inches EndFraction StartFraction 22 feet over 27.5 feet EndFraction StartFraction 27.5 feet over 22 feet EndFraction
Mr. Dunn is a designer for Seabreeze Swimming Pools. For a recent project, Mr. Dunn was asked to design a rectangular pool and surrounding walkway that can cover no more than 1,000 square feet in total. The pool will be 24 feet long and 12 feet wide, and Mr. Dunn wants the walkway along each edge of the pool to be the same width all the way around.The diagram models the pool Mr. Dunn is designing, where x is the width of the walkway.To the nearest foot, what is the width of the walkway?
A rectangle's length and width are in a ratio of 5:1. The perimeter is 24 feet. What are the length and width?length = feetwidth = feetSubmit
he perimeter of a rectangular pool is 294m.If the length of the pool is 91m, what is its width?
A swimming pool is 35 feet long, 25 feet wide, and 6 feet deep. What is the correct way to find the area of the pool?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.