Bob wants to frame a picture. He needs to know how long to cut
the length and width of the wood for the frame. The length of the
picture is six inches more than the width. If the perimeter of the
picture is 108 inches, what are the length and the width of the
picture?

Length = 30 inches

Width = 24 inches

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P) = 2 width + 2 length

Since:

Length (L) = width (w) + 6

Replacing with the values given:

108 = 2w+2 (w+6)

Solving for w:

108 = 2w+2w+12

108-12 =2w+2w

96 =4w

96/4 =w

w= 24 in

Replacing w in the length formula:

L = w+6

L= 24+6 = 30in

Feel free to ask for more if needed or if you did not understand something.  

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi