Question

area of rhombus shape park is 846cm2.if one of the diagonal is 48m.find the other diagonal​

Answer 1

Answer:

35.25 m

Step-by-step explanation:

area of rhombus = 1/2 ×d¹×d²

846m²=1/2×48×d2

846×2=48×d2

1692=48×d2

1692/48=d2

d2= 35.25m

Answer 2

Answer :-

• The other diagonal is 0.3525 cm.

To find :-

• The other diagonal of the rhombus shaped park.

Step-by-step explanation :-

• Here, the area of a rhombus shaped park and the length of one of it's diagonals is given to us. We have to find the length of the other diagonal.

We know that :-

$\underline{ \boxed{ \sf Area \: of \: a \: rhombus = \dfrac{a \times b}{2}}}$

Where,

• a = First diagonal.
• b = Second diagonal.

Here,

• Area = 846 cm².
• One diagonal = 48 m.

Converting 48 m into cm,

$\longrightarrow$ 4800 cm.

Substituting the given values in this formula,

$\longmapsto \rm846 = \dfrac{4800 \times b}{2}$

$\rm\longmapsto846 = \dfrac{4800b}{2}$

$\rm\longmapsto 846 \times 2 = 4800b$

$\longmapsto \rm1692 = 4800b$

$\longmapsto \rm \dfrac{1692}{4800} = b$

Cancelling the numbers,

$\rm \longmapsto \dfrac{141}{400} = b$

$\rm \longmapsto 0.3525 \: cm = b$

Hence :-

• The other diagonal of the rhombus shaped park is 0.3525 cm.

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