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Oksi-84 [34.3K]
3 years ago
15

The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of th

e room will be 150 square feet. Which expression finds the area of the scale drawing?
Mathematics
1 answer:
bearhunter [10]3 years ago
6 0

Answer:

The expression is equal to \frac{150}{4^{2}}

The area of the scale drawing is 9.375\ ft^{2}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

let

z------> the scale factor

x------> the area of the actual room

y-----> the area of the scale drawing

so

z^{2}=\frac{x}{y}

we have

z=4

x=150\ ft^{2}

substitute and solve for y

4^{2}=\frac{150}{y}

y=\frac{150}{4^{2}}=9.375\ ft^{2}

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