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Answer: 75 feet²
Step-by-step explanation:
The scale means that for every one unit in the scale drawing, it is 30 units in the actual room. We will convert the dimensions using proportions.
x = 90
-
x = 120
The area of a rectangle can be found by multiplying the length by the width:
A = L * W
A = 90 * 120
A = 10,800 inches²
To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.
10,800 inches² / 144 = 75 feet²
The area of the room, in square feet, is 75 feet².