Find the area of rectangle ABCD that had vertices point A (2,-5), point B (5,-5), point C (5,-1) and point D (2,-1) in square miles.

The area of the rectangle ABCD is ___ square miles

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

To find the area of the rectangle ABCD, we need to calculate the length of side AB and the length of side AD.

Using the distance formula, we find:
AB = √((5-2)^2 + (-5+5)^2) = √(3^2 + 0) = √9 = 3 miles
AD = √((2-2)^2 + (-1+5)^2) = √(0 + 16) = √16 = 4 miles

The area of the rectangle is then:
Area = AB * AD = 3 * 4 = 12 square miles

Therefore, the area of rectangle ABCD is 12 square miles.

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