SOLUTION: The area of a square field is 576m×m.a rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of the square field.find the area of rectangular

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Question 969435: The area of a square field is 576m×m.a rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of the square field.find the area of rectangular field.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The area of a square field is 576m×m.
Find the side of the square field
s = sqrt%28576%29
s = 24 m
then
4(24) = 96 m is the perimeter
:
a rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of the square field.
Let x = the width
then
2x = the length
the perimeter equation:
2(2x) + 2x = 96
6x = 96
x = 16 m is the width of the rectangle
then
2(16) = 32 m is the length of the rectangle
:
find the area of rectangular field.
32 * 16 = 512 sq/m is the area