Question

Observe the given figure and choose the correct relation between the length AB and AD of the rectangle ABCD.

• A. $AD=\frac{1}{2}AB$
• B. $AD=\frac{3}{2}AB$
• C. $AD=2AB$
• D. $AD=\frac{5}{2}AB$

Answer 1

The correct option is B $AD=\frac{3}{2}AB$


Points A and B lie on the same vertical line and the distance between them will be the difference between their
y-coordinates.


So, AB = CD = |4 - (-4)|
= 8 units

Similarly,
Points B and C lie on the same horinzontal line and the length between them will be the difference between their x-coordinates.

So, BC = AD = |6 - (-6)|
= 12 units

$\text{We know,}12=\frac{3}{2}\times 8$

Hence,
$AD=\frac{3}{2}AB$