SOLUTION: a piece of wire 14 cm long is cut into two pieces. one piece is used to form a square shape and the other to form a rectangle shape of which the length is twice its width. find the

Question 621931: a piece of wire 14 cm long is cut into two pieces. one piece is used to form a square shape and the other to form a rectangle shape of which the length is twice its width. find the length of the side of the square if the combined area of the two shapes is 5.35cm^2.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a piece of wire 14 cm long is cut into two pieces.
one piece is used to form a square shape and
the other to form a rectangle shape of which the length is twice its width.
find the length of the side of the square if the combined area of the two shapes is 5.35cm^2
;
Let x = the width of the rectangle
then
2x = the length of the rectangle
:
Let y = the side of the square
then
he perimeter of the rectangle: 2(2x) + 2x = 6x
The perimeter of the squares = 4y
therefore
6x + 4y = 14
Simplify, divide by 2
3x + 2y = 7
y =
:
The area
2x^2 + y^2 = 5.35
y =
:
Plot these two equations, you can see there is no intersection, so no solution as the problem is written

RELATED QUESTIONS
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)

You have a wire that is 98 cm long. You wish to cut it into two pieces. One piece will be (answered by ikleyn)

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

A piece of wire is 90 cm long. It has to be cut into two piece such that one piece is 2/3 (answered by josgarithmetic)

A 24 cm piece of string is cut into two pieces , one piece is used to form a circle and... (answered by ankor@dixie-net.com)

A piece of wire 40cm long is to be cut into two pieces. One piece wil be bent to form a... (answered by ankor@dixie-net.com)

A piece of wire 40cm long is to be cut into two pieces. One piece will be bent to form a... (answered by ankor@dixie-net.com)

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