Math, asked by 7sruthis, 5 months ago

find the Area of the Rhombus with the given diagonal.
D¹ = 2.4 m
D²= 3.5 m

Answers

Answered by Anonymous
59

Explanation,

Given,

  • Shorter diagonal( \sf{D_1}) = 2.4 mㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
  • Longer diagonal (\sf{D_2})= 3.5 m

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To Find,

  • The area of the rhombus.

Solution,

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We know that,

{ \boxed{ \sf{Area \:  of  \: rhombus \:  =  \dfrac{1}{2}   \: \times\:  D_1 \: \times \:  D_2}}} \:  \green \bigstarㅤㅤㅤㅤㅤ

[ Put the values ]

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 \sf  \leadsto \: A =  \dfrac{1}{2}  \times 2.4 \times 3.5

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\sf  \leadsto \: A = 1.2 \times 3.5

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 \leadsto  { \underline { \boxed{ \sf{A = 4.2 \: m {}^{2} }}}}  \: \red \bigstar

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Therefore, ㅤ

The area of the rhombus is 4.2 m².

Diagram,

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\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\line(1,3){1.5}}\put(0,0){\line(1,0){5}}\put(5,0){\line(1,3){1.5}}\put(1.5,4.5){\line(1,0){5}}\qbezier(1.56,4.5)(1.56,4.5)(5,0)\qbezier(6.45,4.5)(6.45,4.5)(0,0) \put(1.5,1.6){\sf 3.5m}\put(3.8,1.6){\sf 2.4m}\end{picture}

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For information,

  • Square ★ㅤㅤㅤ

⟹ Area : a² (a is side)

⟹ Perimeter : 4a (a is side)

  • Rectangle ★

⟹ Area : L × B

⟹ Perimeter : 2(L + B)ㅤ

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  • Circle ★

⟹ Area : πr²

⟹ Perimeter : 2πr

Answered by Anonymous
2

\huge\red{\mid{\fbox{\tt{ANSWER}}\mid}}

Explanation,

Given,

  • Shorter diagonal ( D¹) = 2.4 m
  • Longer diagonal ( D²) = 3.5 m

To Find,

  • The Area of the Rhombus

Solution,

We know that,

Area of Rhombus = 1/2 ×D¹ × D²

A = 1/2 × 2.4 × 3.5

A = 1.2 × 3.5

A = 4.2 m²

Therefore, the Area of Rhombus is 4.2 m² .

Hope it Helps Buddy ♥️

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