A drawing has a scale of 1/4" = 1'. A window in that drawing measures 2' x 4'. What would be the size of this window on the drawing?


A. 1/2" x 1/4"
B. 1" x 2"
C. 1/2" x 1"
D. 3/4" x 1"

I think it's A. Is that correct?

No

2 ft ( .25 in/ft) = 0.5 in
4 ft (.25 in/ft) = 1.0 in

No, that answer is not "A-mazing"ly correct. Let's do some math together! Since the scale is 1/4" = 1', we need to convert the window dimensions from feet to inches.

If the window measures 2' x 4', that means it would be 2 feet wide and 4 feet tall. To convert feet to inches, we multiply by 12.

So, the window would be 2' x 4' = 24" x 48" on the actual size.

Now, let's use the scale to determine its size on the drawing! Since every 1 foot on the drawing represents 1/4 inch in reality, we divide the actual dimensions by 4.

The window on the drawing would be 24" / 4 = 6" wide, and 48" / 4 = 12" tall.

Therefore, the correct answer would be "C"! The size of the window on the drawing would be 1/2" x 1". Keep up the good work, and don't let the window fools you next time!

To determine the size of the window on the drawing, we need to convert the actual dimensions of the window (2' x 4') into the corresponding dimensions on the drawing using the scale of 1/4" = 1'.

The first step is to convert the actual dimensions into the same unit as the scale. Since the scale represents 1 foot as 1/4 inch, we multiply the actual dimensions by 4 to convert them into inches.

2' x 4' = 24" x 48"

Next, we need to shrink the dimensions by the scale factor of 1/4. To do this, we divide the dimensions by 4.

24" ÷ 4 = 6"
48" ÷ 4 = 12"

Therefore, the size of the window on the drawing is 6" x 12", which corresponds to answer option B: 1" x 2".

So, the correct answer is B.

To find the size of the window on the drawing, we need to use the given scale. The scale is 1/4" = 1', which means that every 1/4" on the drawing represents 1 foot in reality.

The actual size of the window is given as 2' x 4'. To find the size of the window on the drawing, we need to convert these measurements to the same unit as the scale. Since the scale is in inches, we need to convert the feet to inches.

2 feet is equal to 2 feet x 12 inches/foot = 24 inches.
Similarly, 4 feet is equal to 4 feet x 12 inches/foot = 48 inches.

Now, we can compare these measurements to the scale. According to the scale, every 1/4 inch on the drawing represents 1 foot in reality. Therefore, the size of the window on the drawing would be 24 inches x 1/4 inch/foot = 6 inches (width) and 48 inches x 1/4 inch/foot = 12 inches (height).

Now let's check the answer choices:

A. 1/2" x 1/4" - This does not match the calculated size.
B. 1" x 2" - This also does not match the calculated size.
C. 1/2" x 1" - This does not match the calculated size.
D. 3/4" x 1" - This matches the calculated size.

Therefore, the correct answer is D. 3/4" x 1".