Question

the ratiod of diagnals of rhombus is 4:7. if its area is 350cm sq . find its side

Answer 1

LET COMMON RATIO TO BE x.
DIAGONALS= 4x,7x
Area of rhombus = 1/2×d1×d2
350 = 1/2×4x×7x
350×2=28x
x=350×2 /28 =25
4x=25×4=100cm
7x=25×7=175cm

Answer 2

Area of rhombus = 1/2 × product of diagonals.

Let the diagonals be 4x and 7x

So, 350 = 1/2 × 4x × 7x
350 = 2x × 7x
350= 14x
× = 350 / 14
×= 25
So diagonals are 4x= 100
And, 7x = 7× 25= 175
Now u can find the perimeter and u will get the side.