Question

Please Show/Explain Your Work! Thank You!

Answer 1

72 square inches

Explanation:

the length of the floor is 36 feet, the scale drawing length is 9 inches

put that into a ratio (fraction) and simplify to get the scale factor

`(9 inches)/(36 feet)` which simplifies to
`(1 inch)/(4 feet)`

so every inch on the drawing equals 4 feet in real life.

that would make the width of the floor in the drawing 8 inches

the area of the drawing would be 9 inches x 8 inches = 72 square inches

Answer 2

In order to solve for the width (which in turn will help us solve for the area), we need to find a scale.

Since the actual floor is 36 feet in length and the diagram has 9, we know the scale is 36/9, which can be simplified to 4/1.

Since we know that the width, is 32, we just have to divide by 4 to find the scaled down drawing, which will be 8 feet.

8*9 = 72 ft^2