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Andre45 [30]
3 years ago
15

You originally draw a design for an art contest on a 2 in. x 5 in. card. The second phase of the contest requires the drawing to

be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths. Numerical Answers Expected!
Mathematics
1 answer:
Inessa [10]3 years ago
8 0
Set up a proportion:

2       x
--  =  --
5      10.5

Then just solve for x
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Can someone please calculate the length ?
masya89 [10]
<h3>Answer:  11/20</h3>

=====================================================

Work Shown:

x = unknown horizontal length

1/5 = 0.2

Perimeter = 2*(width + length)

P = 2*(0.2 + x)

P = 0.4 + 2x

Set this equal to the given perimeter of 1 & 1/2 = 1.5 and solve for x

0.4 + 2x = 1.5

2x = 1.5-0.4

2x = 1.1

x = (1.1)/2

x = 0.55

x = 55/100

x = (5*11)/(5*20)

x = 11/20

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The area needed is at least 170.5 ft².

Let w  =  the width of the rectangular area.
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