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The rectangular floor of a classroom is 24 feet in length and 30 feet in width. A scale drawing of the floor has a length of 4 inches. What is the area, in square inches, of the floor in the scale drawing?.

Respuesta :

The area of the floor in the scale drawing is 20 square inches.

Firstly calculating the width of scale drawing. For this we will equate the two fractions.

Length/width (rectangle) = length/width (scale drawing)

Let the width of scale drawing be x

24/30 = 4/x

x = 4×30/24

Performing multiplication on Right Hand Side of the equation

x = 120/24

Performing division on Right Hand Side of the equation

x = 5

So, the area of scale drawing = length × breadth

Area of scale drawing = 4 × 5

Performing multiplication on Right Hand Side of the equation

Area of scale drawing = 20 square inches

Hence, the area is 20 square inches.

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