Question

The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x^2 + 5x = 300. What are the measures of the width and the length?

Width=
Length=

Answer 1

So the area of the rectangle is 300

Answer 2

which means the length is 300/x

Answer 3

and the length is also x+5

Answer 4

so 300/x=x+5
300=x2+5x

Answer 5

which means x is 15

Answer 6

so would the equation look something like\[x ^{2}+5x-300=0\]

Answer 7

yes

Answer 8

I already solved that and x=15

Answer 9

which means the width=15
and the length=20

Answer 10

when you realize you failed at making a picture

Answer 11

Thank you so much!! That makes so much more sense. Do you think you would be able to help me with another problem?

Answer 12

sure why not

Answer 13

The height, h, in feet of a golf ball above the ground after being hit into the air is given by the equation, \[h=-16t ^{2}+64t\]where t is the number of seconds elapsed since the ball was hit. How many seconds does it take for the golf ball to hit the ground?

Answer 14

solve for the equation when h=0

Answer 15

0=-16t2+64t
t=4

Answer 16

Thank you so much again.