Question

A scale drawing of a game room is shown below 4.5 inches 2 inches scale 1:30 what is the area of the actual game room in square feet? Round your awnser to the nearest whole number

Answer 1

56.25f ft ^ 2

Step by Step

We have to:

4.5 * 30 = 135 inches

2 * 30 = 60 inches

By multiplying this we are left with:

135 * 60 = 8100 inches ^ 2

But we need this in feet, we know that a 1 foot is 12 inches so, in square terms it would be:

12 ^ 2 = 144 inches = 1 square foot

Thus

8100/144 = 56.25f ft ^ 2

Answer 2

56 Square Feet

Explanation:

The Scale Drawing is 4.5 inches by 2 inches

The Scale is 1:30

That means the Actual Dimension of the Room will be:

(4.5X30) by (2 X 30)

=135 by 60,

The area of the room will be:

135 X 60 = 8100 Square Inches

Next, we convert 8100 Square Inches to Square Feet.

144 Square Inches = 1 Square Feet

8100 Square Inches =
`(8100)/(144)=56.25 \approx 56 Square Feet`