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ANTONII [103]
1 year ago
8

A scale drawing of a bedroom is shown below. The scale is 1 : 30.

Mathematics
1 answer:
ladessa [460]1 year ago
3 0

Answer: 75 feet²

Step-by-step explanation:

     The scale means that for every one unit in the scale drawing, it is 30 units in the actual room. We will convert the dimensions using proportions.

\frac{1}{3} =\frac{30}{x}

x = 90

-

\frac{1}{4} =\frac{30}{x}

x = 120

   The area of a rectangle can be found by multiplying the length by the width:

A = L * W

A = 90 * 120

A = 10,800 inches²

 To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.

10,800 inches² / 144 = 75 feet²

           The area of the room, in square feet, is 75 feet².

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The sum of the sequence is 750

<h3>How to determine the sum of the series?</h3>

The series is given as:

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Start by calculating the common ratio using:

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This gives

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The sum of the series is then calculated as:

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