Question

30 a scale drawing of the floor of a rectangular - shaped classroom is shown in the diagram below. the drawing has a scale of 1 inch to 14 feet.
what is the area, in square feet, of the actual classroom?
diagram of
classroom floor
1.5 in.
2 in.
type your answer in the box.

Explanation:

Step1: Calculate actual length and width

Given scale \(1\) inch \( = 14\) feet.
Length of the rectangle in the diagram \(l_d=2\) inches. Actual length \(l = 2\times14=28\) feet.
Width of the rectangle in the diagram \(w_d = 1.5\) inches. Actual width \(w=1.5\times14 = 21\) feet.

Step2: Calculate the area of the rectangle

The area formula for a rectangle is \(A=l\times w\).
Substitute \(l = 28\) and \(w = 21\) into the formula: \(A=28\times21\).

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Answer:

\(588\)