The width, w, of a rectangular rug is 4 less than its length, L . If the perimeter of the rug is 120 square feet, which equation could be used to find the dimensions of the rug?

a. L(4-L) = 120

b. L(L-4) = 120

c. 2(L-4) + 2L = 120

d. 2(4-L) + 2L = 120

The correct answer is option C; 2(L-4) + 2L = 120

Step-by-step explanation: First of all we need to identify the variables and these are L, which is the length and W which is the width. The width is 4 less than the length of the rectangular rug. That means if the length is L, the width would be L - 4.

Also the perimeter has been given as 120. Note also that the perimeter is calculated as follows;

Perimeter = 2(L + W)

Substituting for the known values we now have;

120 = 2(L + L - 4)

120 = 2L + 2L - 8

Rearranging the right hand side now gives us

120 = 2L + (2L - 8)

120 = 2L + 2(L - 4)

(Note that this is the same as in option C, but the left hand side of the equation is now on the right hand side, and vice versa)

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!