Question

the area of rhombus is 240msquare and one of the diagonal is 16cm.find the other diagonal
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Answer 1

Step-by-step explanation:

Area of rhombus,Ar is given by:

Ar=

2

pq

where p and q are the diagonals of the rohmbus.

So,

240=

2

16×q

q=30

Thus other diagonal is 30cm

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:-

Given :

Area of rhombus is $240 {m}^{2}$

One of the diagonal is 16cm

To find :

Other diagonal.

$\bold{\boxed{Area \: of \: rhombus = \frac{D1 \times D2}{2}}}$

Where ,D1 & D2 are diagonals of the Rhombus.

16cm=0.16m

$240 {m}^{2} = \frac{D1 \times d2}{2}$

$= > D1 \times d2 = 480$

$= >0. 16 \times d2 = 480$

$= > D2 = \frac{48000}{16} = 3000$

$\bold{The\: Other\: diagonal\: is \:3000m}$

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Or if the diagonal is in m then:-

$240 {m}^{2} = \frac{d1 \times d2}{2}$

$= > D1 \times d2 = 480$

$= > 16 \times d2 = 480$

$= > D2 = \frac{480}{16} = 30$

$\bold{The\: Other\: diagonal\: is \:30m}$

Check :-

$= > \frac{D1 \times D2}{2} = \frac{16 \times 30}{2} = \frac{480}{2} = 240 {m}^{2}$

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Additional information:

Perimeter of rhombus =4a (a=side )

Some properties of rhombus:

• All sides of rhombus are equal
• Diagonal of rhombus bisects each other and makes 90° angle
• opposite sides are parallel