Final answer:
The dimensions of the rectangle are 11.5 cm and 16.5 cm, and the area is 189.75 cm².
Step-by-step explanation:
To find the dimensions of the rectangle, let's call one side of the rectangle x cm. Since the other side is 5 cm longer than x, the length of the second side is (x+5) cm. The perimeter of a rectangle is the sum of all its sides, so we can set up the equation:
2x + 2(x+5) = 56
Now we can solve for x:
2x + 2x + 10 = 56
4x = 46
x = 11.5
Therefore, one side of the rectangle is 11.5 cm and the other side is 16.5 cm (11.5+5). To find the area of the rectangle, we multiply the length and width:
Area = 11.5 cm x 16.5 cm = 189.75 cm²