Question

फाइंड एल्टीट्यूड ऑफ़ रोंबस व्होस एरिया फॉर 20 सेंटीमीटर स्क्वायर पैरामीटर इस 140 सैंटीमीटर ​

Answer 1

★ Correct Question :-

• Find the Amplitude of Rhombus, if the Area is 420 cm² . And, the Perimeter is 140 cm .

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★ Given :-

• Area of Rhombus = 420 cm²
• Perimeter of Rhombus = 140 cm

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★ To Find :-

• Amplitude of Rhombus = ?

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★ Solution :-

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∓ Here, the Area of Rhombus is given 420 cm² , Perimeter of Rhombus is 140 cm . And, we have to find the Amplitude of Rhombus .

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• Now, let's solve step by step -----

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◆ Formula Required :-

• $\sf \pmb{Perimeter = 4 \times side}$

• $\sf\pmb{Area = Base \times Height}$

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∴ By substituting the values in formula :-

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$\dashrightarrow \: \sf{Perimeter = 4 \times side} \\ \\ \dashrightarrow \: \sf{140 = 4 \times side} \\ \\ \dashrightarrow \: \sf{side = \frac{140}{4} } \\ \\ \dashrightarrow \: \sf\pmb{side = 35\:cm}$

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$\dashrightarrow \: \sf{Area = Base \times Height} \\ \\ \dashrightarrow \: \sf{420 = 35 \times Height} \\ \\ \dashrightarrow \: \sf{Height = \frac{420}{35} } \\ \\ \dashrightarrow \: \sf\pmb{Height = 12 \: cm}$

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★ Hence :-

• Side of Rhombus = 35 cm .
• Height of Rhombus = 12 cm .

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