SOLUTION: a semicircle of radius is 14 cm is formed from a piece of wire. If it is bent into a rectangle whose length is 1 cm more than its width, find the area of the rectangle

Algebra ->  Surface-area -> SOLUTION: a semicircle of radius is 14 cm is formed from a piece of wire. If it is bent into a rectangle whose length is 1 cm more than its width, find the area of the rectangle       Log On


   

Question 1008872: a semicircle of radius is 14 cm is formed from a piece of wire. If it is bent into a rectangle whose length is 1 cm more than its width, find the area of the rectangle
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
pi%2A14%2B2%2A14=perimeter for both the semicircle and the rectangle to be formed.

28%2B14pi, the perimeter.

w and L are dimensions of the rectangle.
system%28L=w%2B1%2C2w%2B2L=28%2B14pi%29

w%2BL=14%2B7pi
w%2Bw%2B1=14%2B7pi
2w%2B1=14%2B7pi
2w=13%2B7pi
highlight%28w=%2813%2B7pi%29%2F2%29


L=%2813%2B7pi%29%2F2%2B2%2F2
L=%2813%2B7pi%2B2%29%2F2
highlight%28L=%2815%2B7pi%29%2F2%29