There is a road of equal width around a rectangular playground in the outside of it
having the length 45 m. and breadth 40 m. and the area of the road is 450 sqm. make a quadratic equation with this following statement.
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GIVEN,
Length of playground = 45m
Breadth of playground=40m
Area of playground => 40 x 45 =1800m²
Area of road =450m²
let, the width of road be x
Total length =(45+2x)m
Total breadth= (40+2x)m
Total area =Area of playground+ Area of road
=>(45+2x)(40+2x)=1800+450
=>1800+90x + 80x + 4x²=2250
=>4x²+170x+1800=2250
=>4x²+170x+1800-2250=0
=>4x²+170x-450=0
=>2(2x²+85x-225)=0
=>2x²+85x-225=0
here , is the required quadratic equation!!
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