A rectangl
e field has an anrea of 40cm^2. if one side of the field is 3n longer than the other side, find the new area of the field where the length of each side is increased by 10%

   48.4 cm^2

Step-by-step explanation:

l*h=40 cm^2

l*(l+3)=40 cm^2

l*(l+3)=5*8

so l=5, h=8

when l=5+10/100 *5=5+1/2=5.5 cm

       h=8+10/100*8=8+8/10=8.8 cm

Area  now is 5.5*8.8=48.4 cm^2

 x=theta 
so we know that tanx = sinx/cosx 
therefore is tanx = 4/3 and sinx = -4/5 
we can set up an equation to find cosx 
so 4/3 = (-4/5)/cosx 
we can multiply x to have cosx(4/3)=-4/5 
we can then divide 4/3 over so we have 
cosx = (-4/5)/(4/3) 
therefore, cos x = -3/5

there is the answer

i hope this help