The vertices of a rectangle ABCD are $A (4, 3), B (4, - 2), C (- 7, - 2) a n d D (- 7, 3) .$
What is the length and breadth of the rectangle?

Length = 5 Units, Breadth = 5 units

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Length = 11 Units, Breadth = 10 units

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Length = 10 Units, Breadth = 3 units

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Length = 11 Units, Breadth = 5 units

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Solution

The correct option is D
Length = 11 Units, Breadth = 5 units
$A B = \sqrt{(4 - 4)^{2} + (3 - (- 2))^{2}} = \sqrt{0 + (5)^{2}} = \sqrt{25} A B = 5 u n i t s = C D B C = \sqrt{(4 - (- 7))^{2} + (- 2 - (- 2))^{2}} = \sqrt{(11)^{2} + (0)^{2}} = \sqrt{121} ∴ B C = 11 u n i t s = A D$

So, the length of the rectangle ABCD is 11 units and its breadth is 5 units.

Thus, the option (d) is correct.

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The vertices of a rectangle ABCD areA(4,3),B(4,−2),C(−7,−2) and D(−7,3). What is the length and breadth of the rectangle?

The vertices of a rectangle ABCD are $A (4, 3), B (4, - 2), C (- 7, - 2) a n d D (- 7, 3) .$
What is the length and breadth of the rectangle?