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11. Area of a rhombus is 90 cm2. If the length of one diagonal is 10 cm then what is length of second diagonal​

Answer»

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Area of rhombus is 90cm²

Length of one DIAGONAL is 10cm

To Find

we have to find the length of second diagonal

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Since,Area is GIVEN so,we will apply the formula for area of rhombus and assume some Variable in place of Diagonal 2 we have to find .

Area of Rhombus= D1 × D2 ÷ 2

↣Area of Rhombus= 10× Diagonal 2 ÷ 2

let length of other diagonal be 'x'

↣90= 10 × x ÷2

↣90= 10x/2

↣10x= 90×2

↣10x=180

↣x=180/10=18

↣x= 18

hence,length of other diagonal is 18cm

Check:

Area of Rhombus= 18×10÷2

Area of Rhombus= 180÷2=90cm²

Extra information=>

Area is Space or region which is covered by a solid object/figure it is said to be area of that object.

Area depends upon the dimensions of the figure.If dimensions is larger then larger will be the area of that object/figure and vice -versa.

Properties of Rhombus:

  • All sides of rhombus are equal and opposite sides are parallel.
  • Diagonals of Rhombus bisects each other at 90°.
  • There are four congruent right angled TRIANGLES formed between the TWO diagonals


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