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

1.	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» (c) 3 times Let us assume x be the side of the rhombus and h be the height of the rhombus. Then, area of rhombus = x × h = xh Now, side of a rhombus is doubled Area of new rhombus = 4xh (the area of new rhombus after its sides are doubled is 4 times the original rhombus) Hence, the area will increase by 3 times the area of the original rhombus.

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»

(c) 3 times

Let us assume x be the side of the rhombus and h be the height of the rhombus.

Then, area of rhombus = x × h = xh

Now, side of a rhombus is doubled

Area of new rhombus = 4xh

(the area of new rhombus after its sides are doubled is 4 times the original rhombus)

Hence, the area will increase by 3 times the area of the original rhombus.