a rectangular field is 60 metre long and 10 metre wide there is a path of uniform width all around it having an area of 120 square from the quadratic equation
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.length of rectangular field=60m
.breadth of rectangular field =10 m
.width of path which is all around it is uniform and let it be" w"
so now the new rectangle formed has length (60+w)m
and breadth (10+w)m
isn't it?
now it is given that area of the new rectangle is 120m²
ok
Now ,
we know ,
area of rectangle =length ×breadth
120 =(60+w) (10+w)
120= 600+10w+60w+w²
w²+70w+480 is your required quadratic equation.
you can solve it by using various methods or using quadratic formula
but it is not mentioned in your question
the only thing was to form quadratic equation.
ok ,hope it helps
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