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?

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:
[tex]\frac{90}{3}=30\text{inches}[/tex]This means that 30 inches represents 1 centimeter.
Also, let's find the width in centimeters:
[tex]\frac{45}{30}=1.5\operatorname{cm}[/tex]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
[tex]A=3\times1.5=4.5\operatorname{cm}^2[/tex]Therefore, the length of the scale drwing is = 4.5 cm²
ANSWER:
[tex]4.5\operatorname{cm}^2[/tex]