Question 27

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Jambmaths question: 

The area of a square is 144sq.cm, find the length of the diagonal

Option A: 

13cm

Option B: 

$11\sqrt{3}cm$

Option C: 

12cm

Option D: 

$12\sqrt{2}cm$

Jamb Maths Solution: 

$\begin{align}  & \text{Area of Square is }{{l}^{2}} \\ & {{l}^{2}}=144sq.cm \\ & l=12cm \\ & \text{All the sides are equal in a square} \\ & A{{D}^{2}}=A{{C}^{2}}+C{{D}^{2}} \\ & A{{D}^{2}}={{12}^{2}}+{{12}^{2}} \\ & A{{D}^{2}}=288 \\ & AD=\sqrt{288}=12\sqrt{2}cm \\ & \text{The length of the diagonal is }12\sqrt{2}cm \\\end{align}$

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