SOLUTION: A rectangle has an area of 735cm2. Its length and width are whole numbers. what are the possibilities for the two numbers and which possibility gives the smallest perimeter?

Question 564342: A rectangle has an area of 735cm2. Its length and width are whole numbers. what are the possibilities for the two numbers and which possibility gives the smallest perimeter?
Answer by ad_alta(240) (Show Source): You can put this solution on YOUR website!
Since the area ('A') is equal to the length ('l') times the width ('w'), this problem comes down to factoring 735. I'll write the possible answers as ordered pairs (l,w): (25,29), (5,145). It's easy to check that the perimeter ('P') [P=2l+2w] is smallest with l=25 and w=29.
RELATED QUESTIONS
A rectangle has an area of 120 cm square. its length and width are whole numbers.... (answered by rfer)

A rectangle has an area of 120 sq. cm.. Its length and width are whole numbers. What are... (answered by palanisamy,Greenfinch,CharlesG2)

A rectangle has an area of 120 cm 2 . Its length and width are whole numbers. a. What... (answered by josgarithmetic)

a rectangle has an area of 18 square meters. the length and width are whole numbers. what (answered by Fombitz)

a rectangle has an area of 480 square feet and its length and width are both whole... (answered by Alan3354)

A rectangle has an area of 1350 square meters. Its length and width are whole numbers.... (answered by Alan3354)

I need to find all the different triangles that have sides with whole number lengths and... (answered by checkley77)

The area of a rectangle is the product of its length and width. Both the length and width (answered by ikleyn)

A rectangle has an area of 72 square centimeters. Find the length and width so that the... (answered by Alan3354)