Question

Question 28

If each side of a rhombus is doubled, how much will its area increase?

(a) 1.5 times
(b) 2 times
(c) 3 times
(d) 4 times

Answer 1

Let b be the side and h be the height of a rhombus.
$\therefore$ Area of rhombus $=b\times h$ $[\because$ area of rhombus = base $\times$ corresponding height]
If each side of the rhombus is doubled, then side of rhombus = 2b
And if sides are doubled, then height also get doubled i.e. new height = 2h
Now, area of rhombus $=2b\times 2h=4(b\times h)=4$ times of original
Hence, the area of rhombus will become 4 times of original.
The net increase in area = 3 times of original