A walkway is being installed around a rectangular playground. The playground is 30 feet by 12 feet, and the total area of the playground and the walkway is 1288 ft^2. What is the width of the walkway?

There are two rectangles. The inner one with area Ai and outer one with area Ao.

Ai=20×40=800

Ao=(40+2x)(20+2x)=4x2+120x+800

And, we know the the total area of the walkway, Ao−Ai, is 700. Combine all this information and we get a quadratic:

Ao−Ai=4x2+120x+800−800=4x2+120x=700

Solving for x:

4x2+120x−700=0⟹(x−5)(x+35)=0 which gives x=5 or −35 as the width of the path. −35 is a silly answer, so take your path width as 5.

B AND HOPE I AM RIGH

Step-by-step explanation:

i do not know the answer i am sorry