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A decorator creates a scale drawing of a dinning room table. The length of the scale is 3 centimeters. The image represents the dimensions of the actual dinning room table. What is the area of the scale drawing?

A decorator creates a scale drawing of a dinning room table. The length of the scale-example-1

1 Answer

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From the image given, the dinning room table is a rectangle.

Given:

Length in inches = 90 inches

Width in inches = 45 inches

The scale of the length is 3 centimeters.

Now, let's find the scale of the table:


(90)/(3)=30\text{inches}

This means that 30 inches represents 1 centimeter.

Also, let's find the width in centimeters:


(45)/(30)=1.5\operatorname{cm}

Thus, we have:

Length of scale drawing = 3 cm

Width of scale = 1.5 cm

To find the Area of the scale drawing, use the area of a rectangle:

A = Length x Width


A=3*1.5=4.5\operatorname{cm}^2

Therefore, the length of the scale drwing is = 4.5 cm²

ANSWER:


4.5\operatorname{cm}^2

User Ritesh Bhat
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