If the diagonal of a square is 10√2 cm, what is the area of the square?

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What’s inside this PDF?

Question: If the diagonal of a square is 10√2 cm, what is the area of the square?

Options:

100 cm²
200 cm²
50 cm²
150 cm²

Correct Answer: 200 cm²

Solution:

The diagonal d of a square is related to the side length s by the formula d = s√2. Therefore, s = d/√2 = 10√2/√2 = 10 cm. The area is s² = 10² = 100 cm².

If the diagonal of a square is 10√2 cm, what is the area of the square?

Practice Questions

If the diagonal of a square is 10√2 cm, what is the area of the square?

100 cm²
200 cm²
50 cm²
150 cm²

Questions & Step-by-Step Solutions

If the diagonal of a square is 10√2 cm, what is the area of the square?

Step 1: Understand that the diagonal of a square is related to the side length by the formula d = s√2.
Step 2: We know the diagonal d is 10√2 cm.
Step 3: To find the side length s, rearrange the formula to s = d/√2.
Step 4: Substitute the value of d into the formula: s = (10√2)/√2.
Step 5: Simplify the equation: s = 10 cm.
Step 6: Now, to find the area of the square, use the formula for area: Area = s².
Step 7: Substitute the value of s into the area formula: Area = 10².
Step 8: Calculate the area: Area = 100 cm².

Diagonal and Area of a Square – Understanding the relationship between the diagonal and the side length of a square, and how to calculate the area from the side length.

If the diagonal of a square is 10√2 cm, what is the area of the square?

What’s inside this PDF?

If the diagonal of a square is 10√2 cm, what is the area of the square?

Practice Questions

Questions & Step-by-Step Solutions

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