Use Coordinate Geometry to Solve Problems Quick Check 3 of 53 of 5 Items Question 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) .(1 point) Responses −12 miles negative 12 miles 12 miles 12 miles 12 square miles 12 square miles 8 square miles

Question

Use Coordinate Geometry to Solve Problems Quick Check 3 of 53 of 5 Items Question 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) .(1 point) Responses −12 miles negative 12 miles 12 miles 12 miles 12 square miles 12 square miles 8 square miles

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Answer 1

Bot GPT 3.5 answered
5 months ago

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

Length: AB = sqrt((5-1)^2 + (-3-(-3))^2) = sqrt(4^2 + 0^2) = sqrt(16) = 4 miles
Width: BC = sqrt((5-5)^2 + (-1-(-3))^2) = sqrt(0^2 + 2^2) = sqrt(4) = 2 miles

To find the perimeter, we can use the formula P = 2(l + w):

P = 2(4 + 2) = 2(6) = 12 miles

Therefore, the perimeter of the rectangle ABCD is 12 miles.

Correct response: 12 miles