Question

The lengths of the two diagonals of a rhombus are in the ratio 4:5. If the area of the rhombus is 810 sq.m,find the length of each diagonal

Answer 1

hope it help you.........

Answer 2

The length of each diagonal are 25.452 m and 31.815 m

Step-by-step explanation:

We are given that The lengths of the two diagonals of a rhombus are in the ratio 4:5

Let the ratio be x

So, Length of diagonal 1 = 4x

Length of diagonal 2 = 5x

Area of rhombus = $Diagonal 1 \times Diagonal 2 = 4x \times 5x = 20 x^2$

The area of the rhombus is 810 sq.m

So, 20x^2=810

x^2=\frac{810}{20}

x=\sqrt{\frac{810}{20}}

x=6.363

Length of diagonal 1 = $4x = 4(6.363)=25.452 m$

Length of diagonal 2 = $5x = 5(6.363)=31.815 m$

Hence the length of each diagonal are 25.452 m and 31.815 m

#Learn more:

Area of rhombus is 98 sq.m if one diognal us 14 m find other diagonal

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