Question

a rectangular box has area of 240m^2 while its parimeter is 64m^2. what are its dimensions ​

Answer 1

Answer:

Length =20m, Breadth=12 m

Step-by-step explanation:

*Perimeter of rectangular box = 64 m

2( Length +Breadth) =64

Length + Breadth = 64÷ 2 =32

Breadth = 32- Length. ........ (1)

*Area of rectangular box =240 m^2

Length× Breadth = 240

L×( 32 - L) =240. [from eq. (1)]

32L - L^2= 240

L^2 - 32L+240 =0.

L^2 - 12L - 20L + 240 [ By mid term splitting ]

L( L - 12 ) -20( L - 12 )

( L -12 ) ( L -20 )

So, Length = 20 & Breadth = 12