The length of a rectangle is 6 inches longer than it’s width. the perimeter of the rectangle is 36 inches long. how long and how wide is the rectangle.

Length of rectangle = 12 inches

Width of rectangle = 6 inches

Step-by-step explanation:

Let the width of rectangle in inches be =

Given: The length of rectangle is 6 inches longer than its width.

So, length of rectangle in inches

Perimeter of a rectangle is =

Plugging in in the perimeter formula.

Perimeter of rectangle in terms of width =  

Simplifying and using distribution.

⇒

⇒

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We are given perimeter of rectangle = 36 inches.

So, we can equate to find

Subtracting both sides by 12.

Dividing both sides by 4.

inches

Using to find

inches

Length of rectangle = 12 inches

Width of rectangle = 6 inches

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36