Question

THE AREA OF A THE RHOMBUS IS 60 CM SQUARE ,ONE DIAGONAL IS 12 CM .FIND THE OTHER DIAGONAL.

Answer 1

$\huge\tt\underline\blue {given}$

area of rhombus-60 square cm

one diagonal -12 cm

$\huge\tt\underline\blue {to find}$

other diagonal ¿

$\huge\tt\underline\blue {solution}$

area of rhombus-1/2 *d1*d2

let other diagonal be x

put value

60=1/2 *12*x

120=12*x

10=x

$\huge\tt\underline\red {length- of- other- diagonal- is- 10 cm}$

Thanks

Hope its Helpful

Answer 2

Given

We have given area of rhombus is 60cm²

one of its diagonal is given which is 12cm

To Find

We have to find the other diagonal

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

How to solve =>

Since,Area and one of its diagonal is given so,we will apply the formula of area of rhombus and we will assume the other diagonal some variable value so,to complete our formula and hence we will find the missing value e.g.,the length of the other Diagonal of the rhombus .

Area of Rhombus= diagonal 1 × Diagonal 2 ÷ 2

=>60= 12× Diagonal 2 ÷ 2

Let the diagonal 2 be 'x'

=>60= 12 × x ÷ 2

=>12x= 60× 2

=>12x= 120

=>x= 120÷12

=>x= 10

Hence,the length of the other diagonal is 10cm

Check:

Area of Rhombus= D 1 × D2÷2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$=12×10÷2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$=120÷2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$=60cm²

Extra information=>

Area is Space or region which is covered by a solid object/figure it is said to be area of that object.

Area depends upon the dimensions of the figure.If dimensions is larger then larger will be the area of that object/figure and vice -versa.

Properties of Rhombus:

• All sides of rhombus are equal and opposite sides are parallel.
• Diagonals of Rhombus bisects each other at 90°.
• There are four congruent right angled triangles formed between the two diagonals.