SOLUTION: The width of a rectangular gate is 2 ft more than its height. If a diagonal board 8 ft long is used for bracing, then what are the dimensions of the gate?
Algebra ->
Rectangles
-> SOLUTION: The width of a rectangular gate is 2 ft more than its height. If a diagonal board 8 ft long is used for bracing, then what are the dimensions of the gate?
Log On
Question 780998: The width of a rectangular gate is 2 ft more than its height. If a diagonal board 8 ft long is used for bracing, then what are the dimensions of the gate? Answer by solver91311(24713) (Show Source):
The height is and the width is . The diagonal is the hypotenuse of a right triangle with legs that are the height and width, so, with many thanks to Mr. Pythagoras:
Simplify, put into standard form and solve the quadratic.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
