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 75835This question is from textbook Beginning Algebra
: 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?
I am needing some help with this, can you please help me? Thanks
This question is from textbook Beginning Algebra
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=width
Then x+1=length
When we draw the diagonal of a rectangle we, in effect, draw the hypotenuse of two identical right triangles whose sides are the length and width of the rectangle. We can therefore apply the Pythagorean Theorem:
or
get rid of parens
subtract 16 from both sides
quadratic in standard form
We will solve using the quadratic formula:
cm------------------------width
cm-----------------------length
We will ignore the negative value for x ( lengths and widths are positive)
CK
Hope this helps------ptaylor
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