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 is 3 centimeters The image represents the dimensions of the actual dinning r class=

Respuesta :

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]