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27. find the area of a square with a diagonal of 8 cm. 12 cm² 32 cm² 16…

Question

  1. find the area of a square with a diagonal of 8 cm.

12 cm²
32 cm²
16 cm²
18 cm²

Explanation:

Step1: Recall the formula for the area of a square using diagonal

The formula for the area of a square with diagonal \(d\) is \(A=\frac{d^{2}}{2}\).

Step2: Substitute the value of diagonal

Given \(d = 8\) cm. Substitute into the formula: \(A=\frac{8^{2}}{2}\).
Calculate \(8^{2}=64\), then \(A=\frac{64}{2}=32\) \(cm^{2}\).

Answer:

\(32\ cm^{2}\)