A rectangle has consecutive vertices $A(-3,2)$, $B(5,2)$, $C(5,8)$ and $D(-3,8)$. State the

Question

A rectangle has consecutive vertices $A(-3,2)$, $B(5,2)$, $C(5,8)$ and $D(-3,8)$. State the gradient of $AB$ and explain why the gradient of $BC$ is undefined.[2] Find the equations of the perpendicular bisectors of $AB$ and $AD$.[2] Find the area of the rectangle.[2]

Accepted Answer

(a) $0$; $BC$ is vertical; (b) $x=1,\ y=5$; (c) $48$ units$^2$.

Horizontal and vertical sides of a rectangle

Horizontal and vertical sides of a rectangle

Solution:

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