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

1) Find the lengths of the sides from the perimeter formula:
P = a + b + c + d provided that a = b and c = d.
We get P = 2 * a + 2 * c;
Move the common factor out of the bracket P = 2 * (a + c);
Take out a + c = P: 2;
2) Substitute the P value into the formula:
a + c = 28m: 2;
a + c = 14m;
3) The condition that in the rectangle one side is 8m larger than the other is satisfied if:
a = 3m;
c = 11m;
3m + 11m = 14m;
4) We consider the area of the rectangle:
3m * 11m = 33 m2;
Correct answer:
The sides of the rectangle are 3 m and 11 m;
The area is 33 m2.