Jackie's rectangular bedroom is 12 feet by 9 feet. What is the diagonal distance from one corner to the opposite corner?
Question
Solution
To find the diagonal distance (d) in a rectangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse (the diagonal in this case) is equal to the sum of the squares of the other two sides.
Here are the steps:
- Square the length of the room: 12 feet * 12 feet = 144 square feet.
- Square the width of the room: 9 feet * 9 feet = 81 square feet.
- Add these two results together: 144 square feet + 81 square feet = 225 square feet.
- Take the square root of this sum to find the length of the diagonal. The square root of 225 is 15.
So, the diagonal distance from one corner to the opposite corner of Jackie's room is 15 feet.
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