On a coordinate grid, 1 square unit equals ¼ square mile. A rectangular walking path has vertices at (-4,5), (1,5), (-4,-5) and
(1,-5). How long is the walking path?
1 answer:
Answer:
<u>15 miles</u>
Step-by-step explanation:
The rectangular walking path has vertices at (-4,5), (1,5), (-4,-5) and (1,-5).
See the attached figure.
The length of the walking path = the perimeter of the rectangle
As shown, The rectangle has length of 10 units and width of 5 units
So, the perimeter = 2 ( length + width ) = 2(10+5) = 2 + 15 = 30 units
Given: 1 unit² = (1/4) mile²
so, 1 unit = √(1/4) mile = (1/2) mile
so, the the walking path = 30 units = 30 * 1/2 = 15 miles
So, the length of waking path = 15 miles
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