Question

2 a 1 - in. length on the blueprint corresponds to an actual length of 3 ft. what is the scale of the blueprint? what are the actual dimensions of the bathroom? what is the actual area of the bathroom? 1 in. : 3 ft, 4.5 ft by 9 ft, 40.5 ft² 1 in. : 5 ft, 17.5 ft by 20 ft, 350 ft² 1 in. : 3 ft, 3 ft by 9 ft, 18 ft²

Explanation:

Step1: Determine the scale

Since \(1\) inch on the blueprint corresponds to \(3\) feet in actual, the scale is \(1\) in. : \(3\) ft.

Step2: Calculate the actual dimensions of the bathroom

The blueprint dimensions of the bathroom are \(1.5\) in (width) and \(3\) in (length) (from \(4 - 1\) in).

• Actual width: \(1.5\times3 = 4.5\) ft
• Actual length: \(3\times3=9\) ft

Step3: Calculate the area of the bathroom

The area formula for a rectangle is \(A = l\times w\).
\(A=4.5\times9 = 40.5\) \(ft^{2}\)

Answer:

The scale is \(1\) in. : \(3\) ft. The actual dimensions of the bathroom are \(4.5\) ft by \(9\) ft and the actual area is \(40.5\) \(ft^{2}\), so the answer is \(1\) in. : \(3\) ft, \(4.5\) ft by \(9\) ft, \(40.5\) \(ft^{2}\) (corresponding to the third option for area).