Answer:
hello :
the perimeter is : p = 2 ( w + l )
The area is : A= w ×l w : width l : length w ?
2 ( w + l ) = 76
w ×l = 336
you have the system :
w + l = 38 ...(1)
w ×l = 336...(2)
by (1) : l = 38 - w
subst in (2) : w ( 38 - w ) =336
38w - w²= 336
w² - 38w +336 = 0
delta = b² -4ac when : a = 1 and b= -38 c = 336
delta = (-38)² -4(1)(336) = 1444 - 1344 = 100 = 10²
w1 = (38-10)/2 = 14( the shorter sides length)
w2 = (38+10)/2 = 24( refused )
