A pattern drawn on a piece of paper has dimensions of 2 1/2 feet tall by 1 1/3 feet wide. The pattern is to be duplicated by people standing on a football field. If the scale factor of the pattern is 80, what is the area, in square feet, covered by the pattern on the football field?

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Mathematics

1 October, 11:57

A pattern drawn on a piece of paper has dimensions of 2 1/2 feet tall by 1 1/3 feet wide. The pattern is to be duplicated by people standing on a football field. If the scale factor of the pattern is 80, what is the area, in square feet, covered by the pattern on the football field?

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Adan Mccarthy · Answer 1

21,333 1/3 ft²

Step-by-step explanation:

The area of the rectangle on paper is the product of its length and width:

... (2 1/2 ft) * (1 1/3 ft) = (5/2*4/3) ft² = 10/3 ft²

The dimensions of the rectangle on the field are 80 times those on paper, so the area will be ...

... (80 * 2 1/2 ft) * (80 * 1 1/3 ft) = 80² * 10/3 ft² = 64000/3 ft²

... = 21,333 1/3 ft²