Question

a shipping crate must hold 12 cubic feet. the width should be 4 feet greater than the length. what should the length of crate be?​

Answer 1

Answer:

length=4feet

Step-by-step explanation:

Let the length of crate be x

Let the breath of crate be (x+4)

Area of crate=12 feet²

but,crate is a Rectangle as it has both length and breadth.

Area of rectangle=l*b

x*(x+4)=12

$x^{2} +4x=12\\x^{2}+4x-12=0\\x^{2}+6x-2x-12=0\\x(x+6) -2(x+6)=0\\(x-2) (x+6)=0\\(x-2) or (x+6) =0\\x=2 or x=-6$

∵length cannot be in negative

x=2

that is length of crate = 2feet.

breadth of crate =(x+4)=(2+4)=6 feet.