Ben has square garden that has sides measuring 12 feet. ben want to increase every side of his garden by x, feet in order to plant morr vegetables. after ben increases his garden, it will have a perimeter of 104. (a) write an equation to find x. (b) solve

Step-by-step explanation:

(a) The new side length of Ben's garden is (12+x), since x is the amount of increase above the existing 12 ft side length.

The perimeter is the sum of the lengths of the four equal sides, so is ...

  perimeter = 4 × side length

  104 = 4(12+x)

(b) We can solve this by dividing by 4, then subtracting 12.

  26 = 12 +x . . . . . divide the above equation by 4

  14 = x . . . . . . . . . subtract 12

The solution is x = 14.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).