SOLUTION: two fields have the same perimeter. one is the square of side 72 meter and another is a rectangle of length 80 meter.which plot has the greater area and by how much

Question 942481: two fields have the same perimeter. one is the square of side 72 meter and another is a rectangle of length 80 meter.which plot has the greater area and by how much
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Perimeter of each same as perimeter of square P=4S where S=side
P=4S=4(72)=288 m
Area of square= s x s=72 m x 72 m=5184 sq m
for rectangle P=2L+2W so P-2L=2W and W=1/2(P-2L)
width of rectangle=W =1/2(P-2L)... P is same as square=288m and L=80 m (given)
W=1/2(288-2(80))=1/2(128)=64 m
Area of rectangle A=L x W=80 m x 64 m= 5120 sq m
Area of square is larger by (5184 sq m - 5120 sq mm) = 64 sq m
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