In a scale drawing of a house, the living room is 1 in. long. The actual length is 24 ft. The actual width of the living room is 18 ft. The width on the drawing is __________ in. (Find the width on the drawing). Show your work in every step to receive full credit.
1 inch = 24 feet
1/24 = x/18
24x = 18
x = 0.75 = 3/4 inch
To find the width of the living room on the drawing, we can use the concept of ratios.
Step 1: Set up a proportion using the given measurements:
Width on the drawing / Width in actuality = Length on the drawing / Length in actuality
Let's call the width on the drawing "x".
x / 18 ft = 1 in. / 24 ft
Step 2: Convert the units to be consistent. Since both measurements are in feet, we need to convert the length on the drawing from inches to feet. Since there are 12 inches in a foot, we have:
x / 18 ft = (1 in. / 12 in.) / 24 ft
Simplifying further:
x / 18 ft = 1/288 ft
Step 3: Solve the proportion for "x". Cross multiply:
288 * x = 18 * 1
288x = 18
Step 4: Divide both sides by 288 to isolate "x":
x = 18 / 288
x ≈ 0.0625 ft
Step 5: Convert the width on the drawing from feet to inches:
Since there are 12 inches in a foot, we have:
x ≈ 0.0625 ft * 12 in./ft
x ≈ 0.75 in.
Therefore, the width of the living room on the drawing is approximately 0.75 inches.