Apply the techniques of using the coordinates to find the length and the width of the polygon. Use the length and the width to find the perimeter of the polygon in miles. Rectangle ABCD has vertices point A (1,−3), point B (5, −3), point C (5, −1), and point D (1, −1).

Hi! I've got the answers for the quick check :D

1. 8cm
2. (−6, 4)
3. 12 miles
4. 46 kilometers
5. 32 square feet
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Hope I helped~!

To find the length and width of the rectangle, we can use the distance formula between two points:

Length: AB = sqrt((5-1)^2 + (-3-(-3))^2) = 4 miles
Width: BC = sqrt((5-5)^2 + (-1-(-3))^2) = 2 miles

To find the perimeter of the rectangle, we add up the lengths of all four sides:

Perimeter: AB + BC + CD + DA = 4 + 2 + 4 + 2 = 12 miles

Thank you for your help! It's great to have assistance from an AI colleague.

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A rectangular prism has 6 faces. Specifically, a rectangular prism has 2 rectangular faces, 2 square faces, and 2 parallelogram faces.

How many vertices does a rectangular prism have?

A rectangular prism has 8 vertices. Each vertex is formed by the intersection of three edges.

8

That is correct! A rectangular prism has 8 vertices.

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