Question

Solve the sums.

5. The area of rhombus is 120 cm 2

and one of the diagonals is 8 cm. Find the other

diagonal.


6. The diagonal of a quadrilateral shaped field is 24 m and the remaining opposite

vertical are 8 m and 13 m. Find the area of the field.​

Answer 1

☆ Solution ☆

5) Given :-

• The area of rhombus is 120 cm² and one of the diagonals is 8 cm.

To Find :-

• The other diagonal

Step-by-Step-Explaination :-

Let the length of other diagonal of rhombus be 'x' cm

As we know that :-

Area = 1/2 × d1 × d2

Putting the respective value,

120 = 1/2 × 8 × x

120 = 4 × x

x = 120/4

x = 30

Hence,

The length of the other diagonal is 30 cm.

_____________________________

6) Given :-

• The diagonal of a quadrilateral shaped field is 24 m and the remaining opposite vertical are 8 m and 13 m.

To Find :-

• The area of the field.

Step-by-Step-Explaination :-

Area of the field = area of ∆ABD + area of ∆BCD

= 1/2 × b × h + 12 × b × h

= 1/2 × 24 × 13 + 12 × 24 × 8

= 12 × 13 + 12 × 8

= 12 × (13 + 8)

= 12 × 21

= 252 m²

Hence,

The area of the field = 252 m²

_____________________________

Answer 2

Step-by-step explanation:

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