SOLUTION: The diagonal of the floor of a rectangular office cubicle is 2 ft longer than the length of the cubicle and 5 ft longer than twice the width. Find the dimensions of the cubicle.

Question 1179618: The diagonal of the floor of a rectangular office cubicle is 2 ft longer than the length of the cubicle and 5 ft longer than twice the width. Find the dimensions of the cubicle.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

Better if have equation in just one variable.

The description is enough to find a right triangle, diagonal being hypotenuse.
-----simplify and solve this....
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

The diagonal of a rectangle is longer than its and longer than twice its .
What are the dimensions of the rectangle?
Since the divides rectangle into two , we will use in order to find the dimensions of the rectangle.
In algebraic terms, where is the hypotenuse ( in your case the ) while and are the legs of the triangle (in your case the and ).
given:
=>
=>

we will substitute it in:

We need only positive root =>

=>

=>
Check:

..round to whole number

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