Olivia wants to trim a lampshade with braid. the lampshade is shaped like a rectangular prism. the length of the base of the lampshade is 4 inches greater than its width. if the perimeter of the base is 54 inches, find the length of the base

Answer    

Find out the length of the base .

To prove

Formula

Perimeter of the rectangular base = 2(Length + Breadth)

As given

Olivia wants to trim a lampshade with braid.

The lampshade is shaped like a rectangular prism.

The length of the base of the lampshade is 4 inches greater than its width.

Let us assume that the width be = x

Let us assume that the Length be = x + 4

If the perimeter of the base is 54 inches,

Put in the formula

54 = 2(x + x + 4)

54 = 2 (2x + 4)

54 = 4x + 8

54 - 8 = 4x

46 = 4x

x = 11.5

Length of the base = x + 4

                                 = 11.5 + 4

                                 = 15.5 inches

Therefore the  length of the base is 15.5 inches .

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.