Question

Matt drew a floor plan of his bedroom using a scale of 1.5 centimeters = 1 foot. On his floor plan, the width of his bedroom measured 16.5 cm. According to the scale, what is the actual width, in feet, of Matt’s bedroom?

Answer 1

Answer:

Step-by-step explanation:

if 1.5 is 1 foot then all that is left is the 6. so it shud be 6

i hope this helps!

Answer 2

The actual width of Matt's bedroom in feet for this case is evaluated as being of 11 feet.

How are scale drawings formed?

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

$\rm 1\: ft : \dfrac{s}{k}\: in.$

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For this case, centimetre to feet conversion is being done.

Matt uses the scale as: 1.5 cm = 1 ft

Dividing both the sides by 1.5, we get:

$\dfrac{1.5}{1.5} \: \rm cm : \dfrac{1}{1.5} \: ft\\\\1 \: cm : \dfrac{10}{15} =\dfrac{2}{3} \: ft$

In scale drawing, the width of his bedroom is  16.5 cm.

Multiplying the scale with 16.5 on both the parts, we get:

$1 \: \rm cm : 2/3 \: ft\\16.5 \: cm :\dfrac{2}{3} \times 16.5 \: ft = 11 \: ft$

Thus, the actual width of Matt's bedroom in feet for this case is evaluated as being of 11 feet.

Learn more about scale drawings here:

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