the perimeter of a basketball court is 90 meters and the length is 6 meters longer then twice the width. What are the length and width?

Question

campbell_st · Answer

draw a picture and include labels 

|dw:1372105372274:dw|

so 

$$90 = 2w^2 + 6w$$

which can be written as 

$$2w^2 + 6w - 90 = 0$$

divide each term by 2

$$w^2 + 3w - 45 = 0$$

you need to solve the quadratic equation using the general quadratic formula. 

when you have the positive solution for the width substitute ot to find the length.

hope this helps

anonymous · Answer

thanks