Question

An architect is making a model of a building she is designing.The kitchen will be 8 feet by 14 feet . The scale she is using for the model is 3 inches =2 feet. How many 1 inch × 1 inch tiles are needed to cover the floor of the model kitchen? Tiles needed ?????

Answer 1

Too Fly 4 u, this is the solution:

Step 1: Let's calculate the area of the kitchen, as follows:

Area = Length * Width

Area = 14 * 8

Area = 112 ft²

Scale = 3 inches = 2 feet

Tiles = 1 inch * 1 inch

Step 2: Let's calculate the number of tiles for having the right scale for the length of the kitchen, this way using the Direct Rule of Three:

Inches Feet

3 2

x 14

________________

2x = 42

x = 21 (Dividing by 2 at both sides)

This means that using the scale, the length of the model is 21 inches.

In consequence, we need 21 tiles for having the length of 21 inches.

Step 3: Now, let's calculate the number of tiles for having the right scale for the width of the kitchen, again using the Direct Rule of Three:

Inches Feet

3 2

x 8

___________

2x = 24

x = 12 (Dividing by 2 at both sides)

This means that using the scale, the width of the model is 12 tiles.

In consequence, we need 12 tiles for having the width of 12 inches.

Step 4: For covering the floor, we need:

Total tiles = Tiles for length * Tiles for width

Total tiles = 21 * 12

Total tiles = 252