SOLUTION: find the dimensions of a rectangle having the least possible perimeter when its base and height are integers and its area is 18 centimeters squared.

SOLUTION: find the dimensions of a rectangle having the least possible perimeter when its base and height are integers and its area is 18 centimeters squared.

Algebra.Com

Question 1050400: find the dimensions of a rectangle having the least possible perimeter when its base and height are integers and its area is 18 centimeters squared.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
length of the rectangle, in cm
= width of the rectangle, in cm

, so has factors.
Those factors form pairs of factors whose product is .
The pairs/products are:
,
, and
.
The perimeter of the rectangle is
.
If , .
If , .
If , .

RELATED QUESTIONS
The height and the base of a rectangle are positive integers. When the height is doubled (answered by Fombitz)

"A rectangle has a perimeter of at least 46 cm. Its base measures 5 cm more than its... (answered by josgarithmetic)

A rectangle has an area of 81 inches, and its side lengths are integers: a) What is the... (answered by Alan3354)

a rectangle has a perimeter of 10. If the length of its sides are integers, enumerate all (answered by Big Poop)

A rectangle has a perimeter of 10. If the lengths of its sides are integers, enumerate... (answered by richard1234)

find the volume of a rectangle when its square base is 4 ft and its height is 6... (answered by vleith,richwmiller)

The perimeter of a rectangle is 20 inches and its area is 24 square inches. What are its... (answered by Fombitz)

If the perimeter of a rectangle is 34 inches, and its length is 14 inches, what are its... (answered by edjones)

The area of a rectangle is 7in^2 , and its perimeter is 16in . Find its... (answered by htmentor)