Bolton Clark
04/18/2024 · Junior High School
14 In the opposite figure: If ABCD is a square of side length \( 8 \sqrt{2} \mathrm{~cm} \).
UpStudy ThothAI Solution
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Step-by-step Solution
Given that ABCD is a square with side length \( 8\sqrt{2} \) cm, we can determine the area of the square by using the formula for the area of a square, which is \( \text{Area} = \text{side length}^2 \).
Substitute the given side length into the formula:
\[ \text{Area} = (8\sqrt{2})^2 \]
Now, we can calculate the area of the square.
Calculate the value by following steps:
- step0: Calculate:
\(\left(8\sqrt{2}\right)^{2}\)
- step1: Evaluate the power:
\(64\times 2\)
- step2: Multiply the numbers:
\(128\)
The area of the square ABCD is \(128 \, \text{cm}^2\).
Quick Answer
The area of the square ABCD is \(128 \, \text{cm}^2\).
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