Problema Solution
A rectangular field is 80 meters wide and 115 meters long.
Give the length and width of another rectangular field that has the same perimeter but a larger area.
Answer provided by our tutors
the perimeter of the rectangular field that is 80 meters wide and 115 meters long is:
P = 2(80 + 115) = 390 m
while the area is:
A = 80*115
A = 9,200 m^2
another rectangular field that has the same perimeter but a larger area is for example the field with:
w = 90 m width
l = (1/2)(390 - 2*90)
l = 105 m length
the area is:
A1 = 90*105
A1 = 9,450 m^2 larger than the are of the first rectangle A = 9,200 m^2.