The scale drawing of the rectangular classroom floor has dimensions of 8” x 5”. The actual length of the longer side of the floor is 32 feet. What is the actual area of the floor in square feet would it be 40 feet with the small two 240 feet with a small two 640 feet with a small two or 92, 160 feet with a small two. Show your work for this problem be sure to show each step and explain using math vocabulary.
First, we need to find the scale factor used in the drawing. Since the longer side of the floor in the drawing is 8 inches and in actuality is 32 feet, the scale factor is:
32 feet / (8 inches * 1 foot / 12 inches) = 4
Next, we can find the actual width of the floor using the scale factor. Since the width in the drawing is 5 inches, the actual width is:
5 inches * 4 = 20 feet
Now we can calculate the actual area of the floor by multiplying the actual length and actual width:
32 feet * 20 feet = 640 square feet
Therefore, the actual area of the floor is 640 square feet.