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The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9 feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?

Door 1: 10 ft
Door 2: 3 square root 10ft
Door 3: 6 square root 2ft
Door 4: 12ft

User Smathy
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2 Answers

1 vote

Answer:B

Explanation:

User JesperSM
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4 votes
Answer: Door 2 will fit through the rectangular door.

To do this problem, we need to use the Pythagorean Theorem. The door is a rectangle and if we draw a line from corner to corner, we have right triangles.

To find the diagonal distance, we have to write and solve the equation below.

3^2 + 9^2 = c^2
9 + 81 = c^2
90 = c^2
c = the square root of 90

The square root of 90 can be simplified to 3 square roots of 10.
User Luke Twomey
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