A scale drawing of a rectangular bedroom( a rectangle with the width of 2.5 cm and the length of 3.5) is shown below. Using a scale of 1cm = 4 ft.

Question

enter the actual area of the bedroom in square feet.

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Enter your answer as the correct value, like this: 42

Answer 1

To find the actual area of the bedroom using the given scale of 1 cm = 4 ft, we first need to convert the dimensions of the scale drawing into actual dimensions.

The dimensions of the bedroom in the scale drawing are:

• Width: 2.5 cm
• Length: 3.5 cm

Now, we convert these measurements to feet using the scale:

1. Actual width: \[ \text{Actual Width} = 2.5 , \text{cm} \times 4 , \text{ft/cm} = 10 , \text{ft} \]

2. Actual length: \[ \text{Actual Length} = 3.5 , \text{cm} \times 4 , \text{ft/cm} = 14 , \text{ft} \]

Next, we calculate the area of the actual bedroom:

\[ \text{Area} = \text{Width} \times \text{Length} = 10 , \text{ft} \times 14 , \text{ft} = 140 , \text{ft}^2 \]

Thus, the actual area of the bedroom is:

140