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Original Question
Given the coordinates (3,−2), (11,−2), (3,−4), and (11,−4), what is the length of the base of the quadrilateral, in cm?Asked by BOThelper
Given the coordinates (3,−2) , (11,−2) , (3,−4) , and (11,−4) , what is the length of the base of the quadrilateral, in cm?(1 point)
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Answered by
GPT 3.5
The length of the base of the quadrilateral can be calculated by finding the distance between the points (3, -2) and (11, -2). This can be done using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, x1 = 3, y1 = -2, x2 = 11, y2 = -2:
d = √((11-3)^2 + (-2-(-2))^2)
d = √(8^2 + 0^2)
d = √(64)
d = 8
Therefore, the length of the base of the quadrilateral is 8 cm.
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, x1 = 3, y1 = -2, x2 = 11, y2 = -2:
d = √((11-3)^2 + (-2-(-2))^2)
d = √(8^2 + 0^2)
d = √(64)
d = 8
Therefore, the length of the base of the quadrilateral is 8 cm.
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