In a rectangle, one side is 8m larger than the other. Find the area of a rectangle if its perimeter is 28m.

1. Let’s find out what the semi-perimeter of a rectangle is equal to by dividing the perimeter in half:
28/2 = 14 m.
2. Now we subtract the difference between the two sides from the semiperimeter and get twice the value of the smaller side:
14 – 8 = 6.
3. Let’s calculate the value of the smaller side by dividing 6 m by 2:
6/2 = 3 m.
4. Find out the length of the longer side, if it is more than the smaller one by 8 m:
3 + 8 = 11 m.
5. Finally, we find the area by multiplying one side by the other:
11 * 3 = 33 m2.
Answer: the rectangle has an area of 33 m2.



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