Question

1. 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.

diagram of
classroom floor
diagram of a rectangle with length 1.5 in and width 2 in
what is the area, in square feet, of the actual classroom?
show your work.

Explanation:

Step1: Calculate the actual length

The scale is \(1\) inch to \(14\) feet. The length of the scale - drawing is \(2\) inches.
The actual length \(L = 2\times14=28\) feet.

Step2: Calculate the actual width

The width of the scale - drawing is \(1.5\) inches.
The actual width \(W = 1.5\times14 = 21\) feet.

Step3: Calculate the area of the rectangle

The area formula of a rectangle is \(A = L\times W\).
Substitute \(L = 28\) and \(W = 21\) into the formula: \(A=28\times21=(30 - 2)\times21=30\times21-2\times21=630 - 42 = 588\) square feet.

Answer:

The area of the actual classroom is \(588\) square feet.