Question

A rectangle has an area of 32 square feet and a
perimeter of 24 feet. What is the shortest of the side
lengths, in feet, of the rectangle?
F. 1
G. 2
H. 3
J. 4
K. 8

Answer 1

I got J. Is there a trick or shortcut to solving problems like this ?

Answer 2

A = L * B = 32
P = 2 ( L + B ) = 24
LB=32
B=32/L
2(L+B)=24
2(L+(32/L))=24
L+((32/L)) =12
L^2+32=12L

Answer 3

L^2-12L+32=0
L^2-4L-8L+32=0
L(L-4) -8(L-4) =0
(L-4)(L-8)=0
L=4;L=8
L=4 IS THE SHORTEST !

Answer 4

SO U R RIGHT @katrinamarie0803 !
J=4 IS THE ANSWER .