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)

a

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)