Question:
In a square, the lengths of the diagonals are $(4k + 6)$ cm and $(7k - 3)$ cm. What is the area of the square (in cm²)?
In a square, the lengths of the diagonals are $(4k + 6)$ cm and $(7k - 3)$ cm. What is the area of the square (in cm²)?
Updated On: Oct 28, 2024
- 144
- 162
- 169
- 172
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The Correct Option is C
Solution and Explanation
Since the diagonals of a square are equal, $4k + 6 = 7k - 3 \Rightarrow 3k = 9 \Rightarrow k = 3$. The diagonal is $4 \times 3 + 6 = 18$ cm. The area of the square is $\frac{1}{2} \times 18^2 = 162$ cm².
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