SOLUTION: A square yard has a 6-foot wide sidewalk around a square lawn. the sides of the yard, including the sidewalk, have length y. evaluate for y=70, the polynomial that gives the area o

Question 750749: A square yard has a 6-foot wide sidewalk around a square lawn. the sides of the yard, including the sidewalk, have length y. evaluate for y=70, the polynomial that gives the area of the sidewalk.
I have driven myself in circles on this problem. i originally found the area of the sidewalk to be 420 by multiplying 6*70 but upon further evaluation concluded that was incorrect by finding the area of the yard (70*70) to be 4900 and the area of the lawn (64*64) to be 4096 making the sidewalk take up 804 sqft of space. I am to a point where im thoroughly confused.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
A square yard has a 6-foot wide sidewalk around a square lawn. the sides of the yard, including the sidewalk, have length y. evaluate for y=70, the polynomial that gives the area of the sidewalk.
the area of the square including the sidewalk is y^2
the area of the sidewalk is y^2 - (y-12)^2
y^2 - (y^2 -24y +144)
y^2 -y^2 +24y -144
we are left with
24y - 144 = 24*70 -144 = 1536

RELATED QUESTIONS
A square swimming pool has an 8-foot�wide sidewalk around it. If the sides of the pool... (answered by Alan3354)

A square pool has a 6-foot wide walk around it. If the sides of the pool have length x,... (answered by ikleyn,MathTherapy)

you own a lot 260ftx600ft. you wish to build a sidewalk along all four sides. The... (answered by shay-pittbullover12212001)

I have fenced yard that measures 42 feet by 68 feet. Inside the perimeter there is a... (answered by checkley77)

A rectangular swimming pool measures 25ft by 50ft and has a 6 foot wide sidewalk around... (answered by graphmatics)

A store has a rectangular parking lot that is 15 feet longer then it is wide. The owner... (answered by josgarithmetic)

a rectangular public garden x-ft. by y-ft. has a sidewalk surrounding the lawn. the... (answered by ankor@dixie-net.com)

The length of a rectangular garden is 5 feet longer than the width. The garden is... (answered by malakumar_kos@yahoo.com,edjones)

The length of a rectangular garden is 5 feet longer than its width. The garden is... (answered by mathanator)