Latest general Aptitude Question SOLUTION: The length of a rectangular field is six yards more than its width. If the area of the field is 40 sq. yards, find its length and width

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(#M40009781) GENERAL question Keep an EYE

The length of a rectangular field is six yards more than its width. If the area of the field is 40 sq. yards,
find its length and width

Asked In general NAVEEN GUPTA (11 years ago)

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IQBAL MEHDI  (11 years ago)

length=10yards,breadth=4yards ans.
sol:
Let l and b are the length and breadth of the rectangular field
then according to the problem,
l=b+6---(i)
we know that:
area of rectangle=l*b
->l*b=40 sq.yards [from the question]
->(b+6)*b=40 ,using (i)
therefore,b=-10,4 but breadth will not equal to -10
so, b=4 & l=4+6=10
hence,l(length)=10yards
b(breadth)=4yards ans.

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Swetha  (11 years ago)

l=w+6
l*w=40
(w+6)*w=40
w^2+6w-40=0
w^2+10w-4w-40=0
w(w+10)-4(w+10)=0
(w+10)(w-4)=0
w=-10 or w=4
width should be positive value so w=4
l=w+6=4+6=10
lenght=10 yards,width=4yards

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