Can someone help or show me how to do this problem?
On a scale drawing of a house plan the master bathroom is 1 1/2 inches wide and 2 5/8 inches long. If the scale of the drawing is 3/16 inches=1 foot, what are the actual dimensions of the bathroom?
(3/16)/1 = 1.5/x
(3/16)x = 1.5
x = 1.5 * (16/3)
x = 8 feet wide
Do the same to find the length.
What would I do to find the length?
Of course! I can help you with that problem. To find the actual dimensions of the master bathroom, we need to use the given scale and the measurements from the scale drawing.
Step 1: Determine the scale
The given scale is 3/16 inches = 1 foot. This means that on the scale drawing, every 3/16 inches represents 1 foot in the actual plan.
Step 2: Convert the width measurement
In the scale drawing, the master bathroom's width is 1 1/2 inches. To find the actual width, we need to convert the scale drawing measurement into feet. We can do this by multiplying the scale factor with the width measurement:
1 1/2 inches * 1 foot / (3/16 inches)
To simplify this calculation, we need to convert the mixed number 1 1/2 to an improper fraction:
1 1/2 = (2 * 1 + 1)/2 = 3/2
Now we can multiply:
(3/2 inches) * (1 foot / 3/16 inches) = (3/2) * (16/3) = 8 feet
So the actual width of the master bathroom is 8 feet.
Step 3: Convert the length measurement
In the scale drawing, the master bathroom's length is 2 5/8 inches. Follow the same process as step 2 to convert the length measurement into feet:
2 5/8 inches * 1 foot / (3/16 inches)
Convert the mixed number 2 5/8 to an improper fraction:
2 5/8 = (8 * 2 + 5)/8 = 21/8
Now we can multiply:
(21/8 inches) * (1 foot / 3/16 inches) = (21/8) * (16/3) = 28 feet
So the actual length of the master bathroom is 28 feet.
Therefore, the actual dimensions of the master bathroom in the house plan are 8 feet wide and 28 feet long.