Answer:
The value of x is 40 units
Explanation:
It is given that the formula of area of rectangle is, A=length×width. Then, just substitute the following values into the formula:
length = 8
width = (1/2)x + 5
area = 200 units²
A = l × w
200 = 8(1/2)x + 8(5)
200 = 4x + 40
Next is to make x the subject by substracting 40 on both side :
200 - 40 = 4x + 40 - 40
4x = 200 - 40
4x = 160
x = 40 units