SOLUTION: you are designing a rectangular birthday card for a friend. you want the card's length to be 1 in. More than twice the card's width. The area of the card is 88 in^2.What are the di

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: you are designing a rectangular birthday card for a friend. you want the card's length to be 1 in. More than twice the card's width. The area of the card is 88 in^2.What are the di      Log On


   



Question 865133: you are designing a rectangular birthday card for a friend. you want the card's length to be 1 in. More than twice the card's width. The area of the card is 88 in^2.What are the dimensions of the card?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Another of these numerous rectangle dimensions exercises.
L length
w width
L=2w%2B1
wL=88
-
w%282w%2B1%29=88
2w%5E2%2Bw-88=0
-
Is the trinomial factorable? 1%5E2%2B8%2A88=discriminant=highlight%28705%29=3%2A235=3%2A5%2A47;
Not factorable. Discriminant is non-repeated prime numbers.
-
highlight%28w=%28-1%2Bsqrt%28705%29%29%2F4%29

Finding L, length, is left for you. Just follow L=2w%2B1.