Question

the area of a rhombus is 16 cm2 and the length of one of its diagonal is 4 cm. Calaculate the length of the other diagonal. please explain it step by step ​

Answer 1

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Step-by-step explanation:

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Answer 2

Given :-

• Area of a rhombus is 16 cm²
• Length of one of it's diagonal is 4 cm

To Find :-

• Length of another diagonal

Solution :-

❒ Here , we can put the given values in the formula of Area of a rhombus in order to find the value of other diagonal

$\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}$

$\sf \bigstar \; Area\;of\;a\;Rhombus = \dfrac{ab}{2}$

★ Where ,

• a and b are the diagonals

➼ Finding the other diagonal ::

$\sf \implies 16 \; cm^{2} = \dfrac{4b}{2}$

$\sf \implies 4b = 16 \times 2$

$\sf \implies b = \dfrac{16 \times 2 }{4}$

$\sf \implies b = 4 \times 2$

$\sf \implies b = 8 \; cm$

∴ Length of the other diagonal is 8 cm

More Formulas :-

✒ Perimeter of rhombus = 4 × side

✒ Side = ¹/₂(√d₁² + d₂² )

✒ Area = d₁d₂ ÷ 2