What is the length of the diagonal of a rectangle with a length of 12 cm and a w
Practice Questions
Q1
What is the length of the diagonal of a rectangle with a length of 12 cm and a width of 9 cm?
15 cm
18 cm
21 cm
24 cm
Questions & Step-by-Step Solutions
What is the length of the diagonal of a rectangle with a length of 12 cm and a width of 9 cm?
Step 1: Identify the length and width of the rectangle. The length is 12 cm and the width is 9 cm.
Step 2: Use the Pythagorean theorem formula, which states that the diagonal (d) squared is equal to the length squared plus the width squared: d² = length² + width².
Step 3: Substitute the values into the formula: d² = 12² + 9².
Step 4: Calculate 12 squared: 12² = 144.
Step 5: Calculate 9 squared: 9² = 81.
Step 6: Add the two results together: 144 + 81 = 225.
Step 7: To find the diagonal (d), take the square root of 225: d = √225.
Step 8: Calculate the square root of 225, which is 15.
Step 9: Conclude that the length of the diagonal of the rectangle is 15 cm.
