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Rashid [163]
3 years ago
12

An artist is making a mural by reproducing a painting at a different scale. The original painting is 10 1/2 inches long and 4 in

ches wide. The mural will cover an entire wall that is 42 feet long and 16 feet wide. What will be the scale that relates the original painting to the mural?

Mathematics
2 answers:
Tatiana [17]3 years ago
7 0

Answer:

1 inch : 4 feet

Step-by-step explanation:

Size of the Mural is 42 feet long and 16 feet.

The original painting is 10½ inches long and 4 inches wide.

On the length

Length of Painting: Length of Mural

10½ inches: 42 feet

1 inch : 42/10½ feet

1 inch : 4 feet

On the Width

Width of Painting: Width of Mural

4 inch: 16 feet

1 inch : 16/4 feet

1 inch : 4 feet

The Scale of the Original Painting to the Mural is therefore:

1 inch : 4 feet

Margarita [4]3 years ago
6 0

Step-by-step explanation:

Below is an attachment containing the solution

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Answer:

20

Step-by-step explanation:

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Reggie has a rectangular piece of paper that is 12 inches long and 7 inches wide. He is going to cut the paper from corner to co
neonofarm [45]

A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:

<u>___________12 inches_______</u>

7 |

i |

n |

Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.

The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.

Let S = the length of the side from corner to corner

S² = 12² + 7²

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Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193

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5 0
2 years ago
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