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Yanka [14]
3 years ago
7

The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actu

al garden. What is the area of the actual garden?
6 Feet squared
42 Feet squared
252 Feet squared
294 Feet squared
Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
7 0
The answer is 6ft squared.
KengaRu [80]3 years ago
4 0
I will say 42, I am sorry if I am incorrect.
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3 years ago
Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the
natka813 [3]
<h3>Answer:</h3>

C. The playable area has a width of 9 inches and a height of 6 inches.

<h3>Explanation:</h3>

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

  • A: area = 24 in² — does not match 54 in²
  • B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio
  • C: area = 54 in², aspect ratio 9:6 = 3:2 — <em>matches problem statement</em>
  • D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

  • w/h = 3/2
  • wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches . . . . matches selection C

3 0
3 years ago
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