THE AREA OF A RECTANGLE IS 192 SQ CM AND IT'S LENGTH IS 16 CM ∴ IT'S DIAGONAL = ?
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We know that , area of a rectangle = Length × Width
Or , 192Cm ² = 16 × Width
Or , 192 / 16 = Width
Or , Width = 192 / 16
Or , Width = 12 Cm
Using pythagoras theorem /-
Digonal ² = Length ² + Width ²
Digonal ² = 16 ² + 12 ²
Digonal ² = 256 + 144
Digonal ² = 400
Digonal = √(400)
Digonal = 20 Cm
Hence , The Digonal of the rectangle is 20 Cm .
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