Question 122404
to do this problem you need to set up a system of equations and solve.<br>

w = width
l = length<br>

2l+2w = 76
l = 8+4w<br>

Now we substitute l = 8+4w into 2l+2w = 76 and solve for w.<br>

2(8+4w)+2w = 76 -->distribute
16+8w+2w = 76 --> combine like terms
10w+16=76 --> subtract 16 from both sides
10w = 60 --> divide both sides by 10
w = 6<br>

now we substitute that value into the equation for l and solve for l.<br>

l = 8+4w --> plug in w=6
l = 8+4(6)--> multiply 4 by 6
l = 8 + 24--> add
l = 32<br>

so the length is 32 cm and the width is 6 cm.