Megan’s backyard has a small pond that is 15 feet by 10 feet. Her mother wants her to add a wooden deck pathway around the pond, so that the total area of the pool and deck is 234 ft2. How wide does the pathway need to be to fulfill Megan’s mom’s request?

Question

anonymous · Answer

what now ? where do i go from here ? @Hero

anonymous · Answer

i know but how whats the next step do i add 10 and 15 and x and x making it
[25+X ^{2}\]

anonymous · Answer

so 150 + 50x + 4x^2 - 234 = 0 ?

anonymous · Answer

Okay so im guessing 2x - 3 )(x +14 ) = 0

anonymous · Answer

no i dont understand this one the others were pretty easy but this is kinda confusing

anonymous · Answer

where did the 21 and 4 come form?

anonymous · Answer

oh okay so now that we have this whats the next step just tell me how to do it i wanna learn how to solve it on my own just need help explaining

anonymous · Answer

ok thanks im going to solve it and see if i got the same answer as you

anonymous · Answer

shouldnt the 84 be 42 ?

anonymous · Answer

so do i add 84 to both sides?

anonymous · Answer

okay