Final answer:
The width of the rectangle is 5m, and the length is 9m. Therefore, the area of the rectangle is 45m².
Step-by-step explanation:
Let's call the width of the rectangle 'w'. Therefore, the length would be 'w + 4m'. The perimeter of a rectangle is calculated by the formula 2*(length + width). You are given that the perimeter is 28m. So, we form the equation 2*(w + (w + 4)) = 28. Solving this equation, we get w = 5m, so the length is 5m + 4m = 9m.
The area of the rectangle is given by the formula length * width, so the area would be 5m * 9m = 45m².
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