SOLUTION: a rectangle has an area of 28 m^2. The length is 10 m more than two times the width. What is the length of a diagonal of the rectangle?
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Question 1024742: a rectangle has an area of 28 m^2. The length is 10 m more than two times the width. What is the length of a diagonal of the rectangle?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If 
Then \ =\ 2w^2\ +\ 10w)
But you are given that the area is 28 
, so
Solve the factorable quadratic for the positive root. Once you know 
you can calculate 
.
The diagonal of a rectangle is the hypotenuse of a right triangle where the sides of the rectangle are the legs of the triangle. Since you now know the measures of the sides of the rectangle, you can use Pythagoras to calculate the measure of the diagonal.
John
My calculator said it, I believe it, that settles it
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