SOLUTION: Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?

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Question 117900: Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal
of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?

Answer by MathLover1(20849) (Show Source):
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If the length of a rectangle is longer than its width , then we have

the diagonal
since the diagonal cutting a rectangle into two right triangles, we will use Pythagoras Theorem to find what the length and the width are
�.substitute and

�.now we can use quadratic formula to solve for
Since , , and , we will have:

Since we are looking for width, we need only positive solution:

Then

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