Question

Tge area of a rectangle is 16 square feet.what is the greatest perimeter the rectangle can have if the width of the rectangle is greater than i foot?explain the answer

Answer 1

Area of a rectangle = Length & Width = 16 sq.ft.
Take factors of 16 = 1, 2, 4, 8, 16
The combinations will be 1, 16 and 2, 8. (4 can't be taken as it would be a square).
The width is supposed to be more than 1 foot. In that case the option is only to take the combination of 2 and 8.

Perimeter = 2 (Length + Width)
= 2 (8 + 2)
= 2 (10)
= 20 feet.

The greatest perimeter that this rectangle with more than 1 feet width will be 20 feet.