Question

The rectangular floor of a classroom is 36 feet in length and 32 feet in width.

Answer 1

Given:

a.) The actual dimension of a rectangular classroom is 36 feet in length and 32 feet in width.

b.) In a scaled drawing, the floor has a length of 9 inches.

For us to be able to determine the area of the classroom's scaled drawing, let's first determine the scaled width.

Let,

x = the scaled width

Applying ratios and proportions, we get:

`\text{ 36 : 32 = 9 : x }\rightarrow\text{ }(36)/(32)\text{ = }(9)/(x)`
`\text{ \lparen36\rparen\lparen x\rparen = \lparen9\rparen\lparen32\rparen}`
`\text{ 36x = 288}`
`\text{ }\frac{\text{ 36x}}{\text{ 36}}\text{ = }\frac{\text{ 288}}{\text{ 36}}`
`\text{ x = 8}`

Therefore, the scaled width is 8 inches.

Let's now find the area:

`\text{ Area = L x W = 9 x 8}`
`\text{ Area = 72 in.}^2`

Therefore, the area of the scaled drawing is 72 in.²