Question 1041079
length is smaller and call it L
width is 4 more than 3 times length.  That is 4+3L
The area, product, is 32 cm^2
L(4+3L)=32
4L+3L^2=32
3L^2+4L-32=0, just by rewriting and setting equal to 0.
(3L-8)(L+4)=0.  This is guess and check factoring.  I need a product of -32 and 8 and 4 are factors that might work.  If not, check 16 and 2
L= -4, can't work
3L=8;L=8/3 cm
3(8/3)+4; and 4+8=12 cm
The width is 12 cm
The length is 8/3 cm ANSWER.
Their product is 32 cm^2.