SOLUTION: The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 101 cm2, what is the length of the diagonal?
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Question 1125597: The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 101 cm2, what is the length of the diagonal?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let the length be , and the width
if the width of a rectangle is less than its length,we have
....eq.1
if the area of the rectangle is , we have
....eq.2
substitute from eq.1
...solve for
use quadratic formula
since length, we need only positive solution
now find
....eq.1
check the area:
...round it
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