Respuesta :
Complete question is;
Michael is making scale drawings of rectangular rooms using a scale of 1 inch: 11/5 feet. He wants to use paper that has a width of 8 1/2 inches and a length of 11 inches for the drawings. Determine whether the scale drawings for each of these rooms will fit on one piece of paper.
Choose Yes or No for each set of dimensions.
a. 16 feet by 16 feet Yes/ No
b. 10 feet by 15 feet Yes/ No
c. 15 feet by 20 feet Yes/ No
d. 12 feet by 16 feet Yes/ No
Answer:
A) Yes
B) Yes
C) Yes
D) Yes
Step-by-step explanation:
We are told that 1 inch: 11/5 feet
This means in decimal form, 1 Inch represents 2.2 feet
A) 16 ft width gives: 16/2.2 inches = 7.27 inches
Also, 16ft length gives; 16/2.2 inches = 7.27 inches
Length and width are both less than the ones given in the question respectively. Thus, it's sufficient.
B) 10 ft width gives; 10/2.2 inches = 4.55 inches
15 ft length gives; 15/2.2 inches = 6.82 inches
Length and width are both less than the ones given in the question respectively. Thus, it's sufficient.
C) 15 ft width gives; 15/2.2 inches = 6.82 inches
20 ft width gives; 20/2.2 inches = 9.09 inches
Length and width are both less than the ones given in the question respectively. Thus, it's sufficient.
D) 12 ft width gives: 12/2.2 inches = 5.45 inches
16ft length gives; 16/2.2 inches = 7.27 inches
Length and width are both less than the ones given in the question respectively. Thus, it's sufficient.
Thus, all the dimensions are sufficient to fit on one piece of paper
