Question 166264
"A square and a rectangle have the same perimeter" __ 4S=2L+2W


"The lenghth of the rectangle is 4cm less than twice the side of the square" __ L=2S-4


"the width of the rectangle is 6cm less than the side of the square" __ W=S-6


substituting __ 4S=2(2S-4)+2(S-6) __ 4S=4S-8+2S-12 __ 4S=6S-20 __ 20=2S __ 10=S


so the perimeter is 4*10 or 40