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

all will fit

Step-by-step explanation:

We can use ratios to solve

Changing 11/5 into a decimal

1 inch              x

=

2.2 ft            16 ft

Using cross products

16 = 2.2 x

Divide each side by 2.2

16/2.2 = x

7.2727 =x  Since this is less than 8.5 inches   Yes

1 inch              x

=

2.2 ft            15 ft

Using cross products

15 = 2.2x

Dividing each side by 2.2

6.8 =x

Yes

1 inch              x

=

2.2 ft            20 ft

Using cross products

20 = 2.2x

9.09 =x

If this is the 11.5 inch side   (15 ft   is  6.8 inches which is less than 8.5 inches)

yes

1 inch              x

=

2.2 ft            12 ft

12 = 2.2x

5.4 inches  yes since 16 is 6.8 inches

a) Yes

b) Yes

c) Yes

d) Yes

Step-by-step explanation:

8½ inches --> 17/2 × 11/5 = 18.7 feet

11 inches --> 11 × 11/5 = 24.2 feet

a. 16 feet by 16 feet Yes

b. 10 feet by 15 feet Yes

c. 15 feet by 20 feet Yes

d. 12 feet by 16 feet Yes

2 is the final ! : )

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer