Question

The area of a rhombus is 252 cm². If one of the diagonals measures 18 cm, find the length
of the other diagonal.
​

Answer 1

Area of rhombus = diagonal× diagonal /2

252 = 18 × y /2

504 = 18y

y= 504/18= 28

y= 28

hence the second diagonal is 28cm

Answer 2

Given :-

The area of a rhombus = 252 cm²

Measure of one diagonal = 18 cm

To Find :-

The length of the other diagonal.

​Solution :-

We know that,

• a = Area
• d = Diagonal

Let the other diagonal be 'd'.

According to the question,

Area of a rhombus = First diagonal × Second diagonal/2

Given that,

Area (a) = 252 cm²

First diagonal = 18 cm

Substituting their values,

252 = (18 × d)/2

By transposing,

d = (252×2)/18

d = 504/18

d = 28 cm

Therefore, the measure of the other diagonal is 28 cm.