Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below. A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame, what is the length of the frame? Write the answer in decimal form.

Given :

A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame.

To Find :

The length of the frame.

Solution :

We know, perimeter of the rectangle is given by :

Now, it is given that 18 feet of wood is used.

So,

Therefore, length of frame is given by  3x = 6.75 feet.

Hence, this is the required solution.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

he is going to fill two shelves and the third shelf will only have five video games