The perimeter of the rectangle is 56 cm. Find its area if it is the largest of all possible.

A rectangle with a given perimeter will have the largest area if it is a square, that is, if all its sides are equal. The rectangle has 4 sides. Hence, one side of it will be equal

56/4 = 14 cm.

The area of a square is calculated by the formula

S = a², where a is the side of the square.

Find the area of the required square:

S = 14² = 196 cm².

Answer: The largest possible area of a rectangle with a perimeter of 56 cm is 196 cm².