Bailey's rectangular dog pen for his Irish setter must have an area of 300 square feet. Also, the length must be 30 feet longer than the width. Find the dimensions of the pen.

Working on solving using quadratic formula.

Question

Bailey's rectangular dog pen for his Irish setter must have an area of 300 square feet. Also, the length must be 30 feet longer than the width. Find the dimensions of the pen. 

Working on solving using quadratic formula.

emilylauren · Answer

still need help?

emilylauren · Answer

Area =length x width

emilylauren · Answer

the problem tells us that length= width + 30

emilylauren · Answer

300= Area
(w+30)w=300
so 300= w^2 +30w

emilylauren · Answer

w^2+30w-300=0

this is your quadratic equation

emilylauren · Answer

w=7.9128 ABOUT this isn't exact

if it needs to be exact then $$-15+5\sqrt{21}$$

emilylauren · Answer

that is your width

emilylauren · Answer

$$15+5\sqrt{21}$$ is your length

emilylauren · Answer

I wouldn't mind a medal...