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The length of the diagonal of a square is 12 cm. Calculate the area of...

Mathematics
WAEC 2023

The length of the diagonal of a square is 12 cm. Calculate the area of the square.

  • A. \(36 cm^2\) 
  • B. \(48 cm^2\) 
  • C. \(72 cm^2\) 
  • D. \(18 cm^2\) 
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Correct Answer: Option C
Explanation

Let each side be l, then area = \(l^2\)

Using Pythagoras theorem


\(l^2 + l^2 = 12^2\)

\(2l^2 = 144\)

divide both sides by 2

\(l^2 = 72\)

Therefore, the Area of the square is \(72 cm^2\) 


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995