Answer:
Length = 30
Width = 17
Step-by-step explanation:
Let L = length of rectangle and W = Width
The first sentence gives the equation
W = L/2 + 2 ==>
2W = L +4 ==>
L = 2W - 4 .... (1)
The perimeter of the rectangle is 2(L+W) = 2L +2W
Second sentence gives us the equation
4L = 2L + 2W + 26 ===>
2L = 2W + 26 ...... (2)
(2) - (1) ==> L = 30 (2W cancels out)
From (1), W = 30/2 + 2 = 15 + 2 = 17
Check:
Using these values and substituting in equation 2 gives us
2 * 30 = 2* 17 + 26
60 = 34 + 26
which matches
