A town is planning a new rectangular park. The park will have a length equal to twice it's width. A sidewalk 2 meters wide will surround the park. The area of the park and sidewalk is given in the formula A= 2x(to the power of 2) +12x+16. In the formula x is the width of the park. The park is 70 meters wide. What is the total area of the park and sidewalk. Show your steps.
+128731 A town is planning a new rectangular park. The park will have a length equal to twice it's width. A sidewalk 2 meters wide will surround the park. The area of the park and sidewalk is given in the formula A= 2x(to the power of 2) +12x+16. In the formula x is the width of the park. The park is 70 meters wide. What is the total area of the park and sidewalk. Show your steps.
So we have
2(70)^2 + 12(70) + 16 = 10656m^2 and that's the total area of the park and the sidewalk
The park's width, without the sidewalk, is just 66 and the length is twice that = 132.
So, the area of the park, not icluding the sidewalk is just 66 x 132 = 8712m^2
So the area of the sidewalk is the difference between the above = 10656 - 8712 = 1944m^2
+128731 A town is planning a new rectangular park. The park will have a length equal to twice it's width. A sidewalk 2 meters wide will surround the park. The area of the park and sidewalk is given in the formula A= 2x(to the power of 2) +12x+16. In the formula x is the width of the park. The park is 70 meters wide. What is the total area of the park and sidewalk. Show your steps.
So we have
2(70)^2 + 12(70) + 16 = 10656m^2 and that's the total area of the park and the sidewalk
The park's width, without the sidewalk, is just 66 and the length is twice that = 132.
So, the area of the park, not icluding the sidewalk is just 66 x 132 = 8712m^2
So the area of the sidewalk is the difference between the above = 10656 - 8712 = 1944m^2
