The width of zorn’s patio is labeled in the diagram below. if the perimeter of the patio is (30x + 26) feet, what is the length of the patio?

Correct Option:
4th option is the correct answer

Solution:

The shape of Zorn's Patio is rectangular, as shown in the given image/ The perimeter of rectangle is calculated as:

Perimeter = 2 (Length + Width)

Width is given to be = (7x+4) feet
Perimeter is given to be = (30x+26) feet

Using the formula of perimeter we can write:

30x+26 = 2(Length + 7x+4)

Taking out 2 common from left hand side, we get:

2(15x+13) = 2(Length + 7x + 4)

Cancelling the common 2 from both sides, we get:

15x + 13 = Length + 7x + 4
⇒
Length = 15x + 13 - 7x -4 
Length = 8x + 9

Therefore, the length of Zorn's Patio is (8x+9) feet