Q2 of 16 Page 153

Draw a non-square rhombus of area 9 square centimetres.

Area of the rhombus = 9

Area of the rhombus = × d1 × d2


× d1 × d2 = 9


d1 × d2 = 18


we can divide the diagonal like this.


d1 × d2 = 6 × 3


(you can also write it as 3 × 6 or 9 × 2)


∴ diagonal (d1) = 6 cm


diagonal (d2) = 3 cm


with these data we can draw a non- square rhombus.


Firstly, draw a diagonal and draw another diagonal passing through its mid points.


Note: the midpoint for both the diagonals should be same.


Connect all the adjacent points


Thus, a rhombus will be formed



More from this chapter

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5

Compute the area of the parallelogram below:

 1

Draw a square of area square centimetres.

3

The area of a rhombus is 216 square centimetres and the length of one of its diagonals is 24 centimetres. Compute the following measurements of this rhombus.

i) Length of the second diagonal


ii) Length of a side


iii) Perimeter


iv) Distance between sides

 4

A 68-centimeter-long rope is used to make a rhombus on the ground. The distance between a pair of opposite corners is 16 meters.

i) What is the distance between the other two corners?


ii) What is the area of the ground bounded by the rope?