intergers with math

Question

The length of a rectangle is a+0.5.The width of the rectangle is 2a+11. If the perimeter is 47 inches, what’s the value of a?

Answer 1

L = a + 1/2

W = 2a + 11

2(L+W) = 47

2(a+ 1/2 + 2a + 11) = 47

2(3a + 23/2) = 47

6a + 23 = 47

6a = 47-23 = 24

a = 24/6 = 4