Question

if one diagonal of the Rhombus is five time then other diagonal and also sum of the two diagonal is 180 cm then find the area of the Rhombus​

Answer 1

Answer:

2250cm²

Step-by-step explanation:

Let on diagonal be x and the other be y

x = 5y

x + y = 180

5y + y = 180

6y = 180

y = 30

x = 150

Area of rhombus = x y/ 2

Area = 30 × 150/2

Area = 4500/2

Area = 2250cm²

Answer 2

Step-by-step explanation:

Let the length of first diagonal be x

so, the length of other diagonal be x/5

Now, X + X/5 = 180cm

5X + X /5 = 180

6x/5 = 180

6x = 180 × 5

6x = 900

x = 900/6

x = 150

Length of first diagonal = 150

Length of the other diagonal = 150/5 = 30

The area of rhombus

= 1/2 × d1 × d2

= 1/2 × 150 × 30

= 2,250cm