Answer:
x = 8, A = 182 units²
Explanation:
The perimeter P of a rectangle is calculated as
P = 2l + 2b ( l is the length and b the breadth )
Given P = 66, then
2(7) + 2(3x + 2) = 66 ← distribute and simplify left side
14 + 6x + 4 = 66
6x + 18 = 66 ( subtract 18 from both sides )
6x = 48 ( divide both sides by 6 )
x = 8
Then
3x + 2 = 3(8) + 2 = 24 + 2 = 26, so
A = 7 × 26 = 182 units²