Question

The perimeter of a rectangle is 82 m and its area is `400 m^(2)`. The breadth of the rectangle is
A. 25 m
B. 20 m
C. 16 m
D. 9 m

Answer 1

Correct Answer - C
`2(l+b)=82impliesl+b=41impliesl=(41-b).`
And, `lb=400implies(41-b)b=400`
`impliesb^(2)-41b+400=0impliesb^(2)-25b-16b+400=0`
`impliesb(b-25)-16(b-25)=0`
`implies(b-25)(b-16)=0`
`:." "b=25" or "b=16.`
But `b=25impliesl=(41-25)=16ltb.`
`:." ""breadth =16m.`