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A scale drawing for the floor of a rectangular office shows the floor to be 33 feet long and 24 feet wide. The business wants to increase the length of the floor by 30%. The builder recreates the scale drawing to show this change. If the scale drawing shows that 1 centimeter=6 feet, then what is the length of the floor on the new scale drawing?

A. 1.65 cm
B. 4.90 cm
C. 7.15 cm
D. 10.50 cm

Respuesta :

calculista

Answer:

C. 7.15 cm

Step-by-step explanation:

step 1

Find the new length of the floor

Remember that

[tex]100\%+30\%=130\%=130/100=1.30[/tex]

The new length is equal to the original length multiplied by 1.30

so

[tex]33(1.3)=42.9\ ft[/tex]

step 2

Find the  length of the floor on the new scale drawing

we have that

The scale drawing is

[tex]\frac{1}{6}\ \frac{cm}{ft}[/tex]

That means

1 cm in the drawing represent 6 feet in the actual

Multiply the length of the floor in the actual by the scale drawing

so

[tex]\frac{1}{6}(42.9)=7.15\ cm[/tex]

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