Question

14. The area of a rhombus is 119 cm” and its perimeter is 56 cm. Find its height:
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Answer 1

SOLUTION:

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CORRECT QUESTION:

The area of a rhombus is 119 cm² and its perimeter is 56 cm. Find its height?

ANSWER:

• Height of the Rhombus is 17cm.

TO FIND:

• Height?

GIVEN:

• The area of a rhombus is 119 cm² and its perimeter is 56 cm.

SOLUTION:

Let each side of the rhombus be x

Now,

4x = 56cm

x = 56/4

x = 14cm.

Hence , Base of the rhombus = 14cm.

FORMULAE TO FIND:

Area of the rhombus = h × b × 1/2

SOLVING BY APPLYING THE FORMULA:

h × 14 × 1/2 = 119cm²

h × 14 = 119 × 2

h × 14 = 238

h = 238/14

h = 17cm.

Hence , Height of the rhombus is 17cm.

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Answer 2

Question:-

1. The area of a rhombus is $119^{2}$ and its perimeter is $56^{2}$. Find its height.

Required answer:-

• 8.5 cm is the height of the rhombus

To find,

• The area of the rhombus

Given that:-

• Area of rhombus = $119^{2}$cm
• Perimeter of rhombus = $56^{2}$cm

Formula used:-

$\rm\dfrac{1}{2} \times d_1 \times d_2$

Solution:-

Let ABCD is the rhombus such that

 Area = $119^{2}$

 Perimeter = $56^{2}$

Each side = $\rm\dfrac{56}{4}=14cm$

  Let 'h' be the height of the rhombus

Area = base x height

 ⇒ 119 = 14 x h

⇒  14h = 119

⇒ h = $\rm\dfrac{119}{14}=8.5cm$