Amy is making a drawing of different things in her neighborhood. One house she drew is 30 feet wide. Her scale drawing of the house is 5 inches wide. Which of the following uses the same scale Amy used to draw this house.
A 54 foot-tall water tower is represented by a 9-inch tall drawing
A 29.5-foot wide playground is represented by a 4.5-inch wide drawing
A 24-foot wide house is represented by a 5-inch wide drawing
a 3-foot tall mailbox is represented by a 19-inch drawing
2.Meredith wants to paint 3 of the walls in her room. Each wall has the shape of a rectangle with dimensions 10 feet by 12 feet she has 1 can of paint that will cover approximately 420 square feet which method can Meredith use to determine whether or not she has enough paint to complete the job?
Multiply 10 by 12 compare the product to 420
Multiply 10 by 12 and divide by 3 compare the result to 420
Multiply 10 by 12 by 3 compare the product to 420
Multiply 10 by 12 by 4 and divide by 3 compare the results.
I'm not sure about the first question answer, but I think question two is D, but again I'm not sure. I need an explanation for these two, please
1. In her drawing 1 inch = 6 feet. (30/5 = 6)
2. Not D.
3 walls
Each wall is 120 square feet
Would number two be C than because since each wall is 120 square feet, 3x120=360 would it be close to C?
Yes, 2 C.
Would question 1. be d. Cause I'm still confused on that one a little bit more.
1 is not D. Look for the pair of numbers that when divided has an even number for the quotient. 6 times the number of inches should be an even number.
So Would it be A then? Because I did 54 divided by 9= 6.
Yes, A.
Okay I understand now. Thank you so much.
:-) You are very welcome.
For the first question, let's go through each option to determine which one uses the same scale as Amy used to draw her house.
Option A states that a 54-foot-tall water tower is represented by a 9-inch tall drawing. To find the scale, we can divide the height of the water tower by the height of the drawing: 54/9 = 6. This scale is not the same as the scale Amy used because it is based on the height, not the width.
Option B states that a 29.5-foot wide playground is represented by a 4.5-inch wide drawing. Similarly, we can calculate the scale by dividing the width of the playground by the width of the drawing: 29.5/4.5 = 6.56. This scale is also different from what Amy used.
Option C states that a 24-foot wide house is represented by a 5-inch wide drawing. Again, we calculate the scale by dividing the width of the house by the width of the drawing: 24/5 = 4.8. This scale is the same as the one Amy used, as it matches the ratio of 30 feet to 5 inches for her house. Therefore, the answer to the first question is C.
Now let's move on to the second question.
Meredith wants to determine if she has enough paint to cover the three walls of her room. The dimensions of each wall are given as 10 feet by 12 feet. To find the total area of the three walls, we need to calculate the product of the length and width of each wall and then multiply by 3, as there are three walls.
Option A suggests multiplying 10 by 12 and comparing the product to 420. This method does not take into account the fact that there are three walls, so it is not the correct approach.
Option B suggests multiplying 10 by 12 and dividing by 3 before comparing it to 420. This method correctly considers that there are three walls, so it is a potential candidate.
Option C suggests multiplying 10 by 12 by 3 and comparing the product to 420. This method calculates the total area of the three walls without considering the ratio 420 square feet of paint available, so it is not the correct method.
Option D suggests multiplying 10 by 12 by 4 and dividing by 3 before comparing it to 420. This method is not appropriate because it assumes there are four walls, which is not stated in the problem.
Therefore, the correct answer to the second question is B. Meredith should multiply the dimensions of each wall (10 by 12) and then divide by 3 to compare the result to 420.