Question

The perimeter of a rectangle is 104m and it's area is 640m^2. Find it's length and breadth.

Answer 1

Perimeter of rectangle = 104 m

2(L+B) = 104

=> L+B = 52
=> L = 52-B ........(1)

Area of rectangle = 640 m²

L×B = 640

=> (52-B)B = 640. { from(i) }

=> B²-52B+640 = 0

=> B²-32B-20B+640 = 0

=> B(B-32)-20(B-32) = 0

=> (B-20)(B-32) = 0

=> B = 20 or B = 32

Then from (i),

L = 32 or 20

Hence Length = 32m and Breath = 20m