The perimeter of the rectangle is 28 and its area is 48 sq. Cm. Determine what the length and width of the rectangle are.

The perimeter of a rectangle is twice the sum of its sides.

In this case, the sum of the length and width of the rectangle will be:

28/2 = 14 cm.

Area is the product of length and width.

It is necessary to factor out the area.

In this case, the length and width can be equal:

2 * 24 = 48.

3 * 16 = 48.

4 * 12 = 48.

The first 3 pieces are not suitable because their sum is greater than the required value.

6 * 8 = 48.

We take the value of length equal to 8 cm, and width as 6 cm.

Answer: The sides of the rectangle are 8 and 6 cm.



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