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A game room has a floor that is 300 feet by 70 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. What are the dimensions of the scale drawing? Enter your answer as length by width.

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sylvain96

Answer:

60 by 14 units

Step-by-step explanation:

What are the dimensions of the scale drawing?

We know the real-life size: 300 feet by 70 feet.

We know the scale of the drawing: 1 unit per 5 feet, so 5 feet per unit.

So, all we have to do is convert the feet from the life-size game room into units on the drawing board.

For the 300 feet long measurement, we need to divide it by 5, like this:

[tex]\frac{300 feet}{5 feet / unit}  = 60 units[/tex]

We repeat the operation for the width of the room (70 feet):

[tex]\frac{70 feet}{5 feet / unit}  = 14 units[/tex]

So, the scale drawing will measure 60 x 14 units.