Answer:
Dimensions are 3cm and 10cm.
Step-by-step explanation:
We can make two equations for this problem.
ab = 30
2a + 2b = 26
Isolate a in the first equation.
a = 30/b
Plug that into the second equation.
2(30/b) + 2b = 26
2b^2 + 60 = 26b
2b^2 - 26b + 60 = 0
2(b - 3)(b - 10) = 0
b - 3 = 0 and b - 10 = 0
b = 3, 10
Plug these values into the first equation.
a3 = 30
a = 10
a10 = 30
a = 3
Best of Luck!