Question

The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width of the room is 69 feet. What is the area of the scale drawing?

Answer 1

There's two ways to solve this.
First way:
Let's divide the width and length by 2.3.
46÷2.3=20
69÷2.3=30
20×30
600 ft²
Second Way:
Let's find the area of the actual room.
46×69
3,174 ft²
Let's find the scale drawing squared.
2.3²=5.29
3,174÷5.29
600 ft²

Answer 2

The area of the scale drawing will be:

600 square feet.

Explanation:

The actual length of a wall in the room is 46 feet and the actual width of the room is 69 feet.

It is given that:

The scale factor of a room for a scale drawing is 2.3.

The length of the room according to the scale drawing will be:

46÷2.3=20 feet

and the width of the room according to scale drawing will be:

69÷2.3=30 feet

We know that the wall is in the shape of a rectangle.

This means that the area of scale drawing will be:

Length×Width

= 20×30

= 600 square feet.