The rectangular floor of a classroom is 28 feet in length and 30 feet in width. A scale drawing of the floor has a length of 14 inches. What is the perimeter, in inches, of the floor in the scale drawing?
To find the perimeter of the floor in the scale drawing, we need to determine how many inches represent 1 foot in the scale.
Given that the length of the floor is 28 feet and the length of the scale drawing is 14 inches, we can set up a proportion to find the scale:
28 feet / x = 14 inches / 1
Cross-multiplying:
28x = 14
Dividing both sides by 28:
x = 14/28
Simplifying:
x = 0.5
So, in the scale drawing, 1 foot is represented by 0.5 inches.
Now, to find the perimeter of the floor in the scale drawing, we can calculate the perimeter of the actual floor and then scale it down.
The actual perimeter of the floor is:
2 * (length + width)
Plugging in the given values:
2 * (28 feet + 30 feet)
Simplifying:
2 * 58 feet
Calculating:
116 feet
Since 1 foot is represented by 0.5 inches in the scale drawing, we multiply the actual perimeter (116 feet) by 0.5 to get the perimeter in inches:
116 feet * 0.5 inches/foot
Calculating:
58 inches
Therefore, the perimeter of the floor in the scale drawing is 58 inches.
how come the width is bigger than the length? Typo?
14/28 = x/30
x = 30 *14 / 28
then perimeter = 2 x + 14*2