10th Class Mathematics Coordinate Geometry Question Bank Case Based (MCQs) - Coordinate Geometry

The area of rectangle BCED is:

A) 8 sq. units

B) 10 sq. units

C) 12 sq. units

D) 16 sq. units

Correct Answer: C

Solution :

The coordinates of the vertices B.C.E and D are \[(3,7),\]\[(6,7),\]\[(6,3)\]and \[(3,3)\] respectively.

Now, \[BC=\sqrt{{{(6-3)}^{2}}+{{(7-7)}^{2}}}=\sqrt{9+0}=3\]units

and \[CE=\sqrt{{{(6-6)}^{2}}+{{(9-7)}^{2}}}=\sqrt{0+16}=4\] units

\[\therefore \]Area of rectangle

\[=\text{ length}\times \text{breadth = BC}\times \text{CE}\]

\[=3\times 4=12sq.\] units

So, option [c] is correct