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hoa [83]
3 years ago
11

What the square root of 49/81?

Mathematics
1 answer:
andrezito [222]3 years ago
5 0

Answer:

0.08641975308

Step-by-step explanation:

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The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the
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Answer:

Part a) The area of the actual floor is 576\ ft^{2}

Part b) The ratio of the area in the drawing to the actual area is \frac{1}{9}\frac{cm^{2}}{ft^{2}}

Step-by-step explanation:

we know that

The scale drawing is \frac{1}{3}\frac{cm}{ft}

step 1

Find the dimensions of the square on a scale drawing

The area of a square is equal to

A=b^{2}

where

b is the length side of the square

A=64\ cm^{2}

so

64=b^{2}

b=8\ cm

step 2

Find the dimensions of the actual floor

Divide the length of the floor on the drawing by the scale drawing

8/(1/3)=24\ ft

step 3

Find the area of the actual floor

The area of a square is equal to

A=b^{2}

substitute

A=24^{2}=576\ ft^{2}

step 4

Find the ratio of the area in the drawing to the actual area

\frac{64}{576}\frac{cm^{2}}{ft^{2}}

Simplify

Divide by 64 both numerator and denominator

\frac{1}{9}\frac{cm^{2}}{ft^{2}}

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