Question

in the floor plan of a home the dining room is 16 mm longer than it is wide. if the floor plan was drawn to the scale 1 mm = 2 inches, what is the actual difference between the length and width of the dining room?
a. 8 inches
b. 17 inches
c. 18 inches
d. 32 inches
pat built two models of navy boats, one with a scale of 1 inch = 20 feet and the other with a scale of 1 inch = 20 feet.
if both finished models are 18 inches long, what is the difference between the actual sizes of the two boats?
a. 3 feet
b. 6 feet
c. 24 feet
d. 108 feet
a new sci - fi movie was filmed using a man in rubber monster suit at 7 feet 2 inches tall. the suit was constructed to the scale 1 inch = 5 feet.
how tall of a monster is the rubber suit designed to depict?
a. 430 feet
b. 360 feet
c. 35 feet 10 inches
d. 7 feet 10 inches
simplify.
$-\frac{3}{4}-\frac{3}{8}$
a. $-\frac{9}{8}$
b. $-\frac{6}{8}$
c. $-\frac{3}{8}$
d. $\frac{3}{8}$

Explanation:

First Problem (Top Left)

Step1: Convert drawing difference to actual

Actual difference = $16 \times 2$ inches

Step2: Calculate final value

$16 \times 2 = 32$

Step1: Find actual length of first boat

Actual length 1 = $18 \times 26$ feet

Step2: Find actual length of second boat

Actual length 2 = $18 \times 20$ feet

Step3: Calculate difference

Difference = $18(26-20) = 18 \times 6$

Step1: Convert suit height to inches

$7 \times 12 + 2 = 86$ inches

Step2: Calculate monster height

Monster height = $86 \times 5$ feet

Answer:

D. 32 inches

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Second Problem (Top Right)