SOLUTION: What is the maximum total area that 450cm of string can enclose if it is used to form the perimeters of two adjoining rectangles?

Question 912002: What is the maximum total area that 450cm of string can enclose if it is used to form the perimeters of two adjoining rectangles?

Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Two adjoining rectangles make one larger rectangle. So the question really is what is the largest rectangle that can be enclosed with 450cm of string. The largest area is that closest to a square.
450/4 = 112.5cm
112.5 * 112.5 = area of 12,656.25 sq cm
The adjoining rectangles have a length of 112.5cm. Their widths can be any measurement so that the width of A plus the width of B = 112.5 cm.
RELATED QUESTIONS
A 60cm length of rope is to be cut into two pieces to form the perimeters of two squares. (answered by edjones)

It is desired to enclose a rectangular field adjacent to the straight bank of a river.... (answered by math-vortex)

A farmer decides to enclose a rectangular,using the side of a barn as one side as a... (answered by ikleyn)

You decided to build a dog house run in back corner your yard. If you only have 60 feet... (answered by Alan3354)

A farmer would like to enclose a rectangular portion of his field using fences on all... (answered by josgarithmetic)

A rectangle has 200 feet of fencing with which to enclose two adjacent rectangle corrals. (answered by stanbon)

A farmer has 3000 feet of wire to enclose a rectangular field. He plans to fence the... (answered by ankor@dixie-net.com)

A rectangular garden is enclose by a brick boarder. The total length of the brick used... (answered by josgarithmetic)

Please explain all the steps to all my questions: 1. The Sum of a number and three times (answered by ikleyn)