A rectangular field has an area of 20 sq. Km. If the perimeter of the field is 18 km, what is the length of the longer side of the field?
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Answer:
length of longer side of field is 5 km.
Explanation:
l.b = 20 sq. km
2(l+b) = 18 ---> l+b = 9 ---> b = 9-l
l (9-l) = 20
9l - l^2 = 20
l^2 -9l+20=0
l^2-5l-4l+20=0
(l-5)(l-4) = 0
l = 5 or 4
therefore length of longer side of field is 5 km.
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