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):
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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 =>
(