Problema Solution
a rectangular garden has an area of 84meter square and a perimeter of 38meter. Findits length and width
Answer provided by our tutors
let
l = the length of the grader, l>0
w = the width of the garden, w>0
l > w
the area is 84 m^2 and since area=length*width we have
l*w = 84
the perimeter is 38 and perimeter = 2(length of width)
2(l + w) = 38 divide both sides by 2
l + w = 19
l = 19 - w
plug l = 19 - w into l*w = 84
(19 - w)*w = 84
by solving we find
w1 = 12 m
w2 = 7 m
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for w = 12 m we have l = 19 - 12 = 7 m but in this case l<w (7<12) thus this is not the solution
for w = 7 m we have l = 19 - 7 = 12 m and 12>7 we conclude:
the length is 12 meters and the width is 7 meters.