Question

ABCD is a rectangle, where the coordinates of C and D are $(-2,0)$ and $(2,0)$, respectively. If the area of the rectangle is 24, which of the following is a possible equation representing the line $AB$?

Accepted Answer

C. Length of side $CD = 2 - (-2) = 4$. Area of rectangle = $CD 	imes AD = 24 \implies 4 	imes AD = 24 \implies AD = 6$. Since $CD$ lies along the x-axis ($y = 0$), line $AB$ must be parallel to $CD$ at a distance of 6 units. Thus, the equation of line $AB$ can be $y = 6$ or $y = -6$. Among the given options, $y = 6$ is present.

Equation of Line in Rectangle Geometry

Explanation

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