If A $(- 3, 0)$ and C $(5, 2)$ are the end points of diagonal $A C$ of rectangle $A B C D$ , with $B$ on the x- axis, the perimeter of the rectangle $A B C D$ is

20

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24

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28

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Solution

The correct option is C $20$
Both A & B i.e the side AB lies on the X-axis.

Again $B C ⊥ A B$ ...(since $□ A B C D$ is a rectangle)

$\Rightarrow$ Abscissa of $B =$ abscissa of $C$ .

$∴ B = (x, 0) = (5, 0)$ ....[since $C = (5, 2)$ ]

$∴$ Length $A B =$ difference beteen abscissae of A & B $= [(5 - (- 3)] = 8$ units.

Again length $B C =$ difference beteen ordinates of B & $C = (2 - 0) = 2$ units.

$∴$ The perimeter $P = 2 (A B + B C) = 2 (8 + 2) = 20$ sq. units.

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Similar questions

The given figure shows a rectangle ABCD, where BC = 4 cm. Diagonals AC and BD intersect at point O. AO = 2.5 cm.

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