Question

TASK 8 Michael has made a scale drawing of his classroom. The scale for his drawing is 0.5 in.: 3 ft. a. The length of the classroom is 30 ft. The length of the room on the scale drawing is 6 in. Is this correct? Explain why or why not. b. One of the student tables is 6 ft long. How long should it be on the drawing? Explain how you got your answer. c. Write your own problem concerning Michael's drawing. Solve and explain your answers.

Answer 1

The scale drawing is

Inches : Feet

0.5 : 3

We need to find the length of the classroom on the drawing if it is 30 feet

Let us use the ratio above to find it

Inches : Feet

0.5 : 3

x : 30

by using cross multiplication

`x*3=0.5*30`

3x = 15

Divide both sides by 3 to find x

`(3x)/(3)=(15)/(3)`

x = 5

The length on the drawing must be 5 inches

a) 6 inches is incorrect because the length on the drawing must be 5 inches

b) The student is 6 ft long

let us use the ratio above to find his length on the drawing

Inches : Feet

0.5 : 3

y : 6

By using cross multiplication

`\begin{gathered} y*3=0.5*6 \\ 3y=3 \end{gathered}`

Divide both sides by 3 to find y

`\begin{gathered} (3y)/(3)=(3)/(3) \\ y=1 \end{gathered}`

b) his length on the drawing is 1 inch

for number c) choose any length by feet and use the ratio to find its length on the drawing

Your height is 8 feet

Let us find it in the drawing

Inches : Feet

0.5 : 3

h : 8

By using cross multiplication

`\begin{gathered} h*3=0.5*8 \\ 3h=4 \end{gathered}`

Divide both sides by 3 to find h

`\begin{gathered} (3h)/(3)=(4)/(3) \\ h=(4)/(3) \end{gathered}`

c) Your height on the drawing is 4/3 inches