SOLUTION: A piece of wire 48cm long is cut into two pieces. The first is 4x cm long and each piece is bent to form a square. a) Show that A, the sum of the areas of the two squares will be

Question 1121167: A piece of wire 48cm long is cut into two pieces. The first is 4x cm long and each piece is bent to form a square.
a) Show that A, the sum of the areas of the two squares will be given by A = 2x^2 -24x + 144.
b) At what value of x will the lowest value of A occur?
c) Hence or otherwise, find the lowest value of A.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Only for getting started,

Pieces of lengths 48-4x, and 4x

Corresponding side lengths of each square 12-x and x
A, sum of their areas, .
..
.
.
RELATED QUESTIONS
A piece of wire 48cm long is cut into two pieces. The first is 4x cm long and each piece... (answered by htmentor)

A wire that is 32 cm long is cut into two pieces, and each piece is bent to form a... (answered by richwmiller)

A 48cm wire is to be cut into two pieces. One piece must be 10cm longer than the shorter... (answered by Alan3354)

A PIECE OF WIRE 44 CM LONG IS CUT INTO TWO PARTS AND EACH PART IS BENT TO FORM A SQUARE.... (answered by Theo)

A piece of wire (56 cm long) is cut into two pieces and each piece is bent into the shape (answered by Edwin McCravy)

A piece of wire 30 cm long is cut into two pieces. One of these is bend into a circle,... (answered by josgarithmetic)

A piece of wire that is 100ft long is to be cut into two pieces and each of the piece is... (answered by lwsshak3)

You have a wire that is 53 cm long. You wish to cut it into two pieces. One piece will be (answered by ankor@dixie-net.com)

You have a wire that is 65 cm long. You wish to cut it into two pieces. One piece will be (answered by ankor@dixie-net.com)