The length of a rectangle is 2 inches more than 4 times the width. The perimeter is 64 inches. Find the length and the width.

The width is 6 inches and the length is 26 inches.

Explanation:
L=4w+2, since the length is 2 more than 4 times the width.

The perimeter is given by P=2L+2w; using our equation for L, we have
P=2(4w+2)+2w.

Using the distributive property, we have
P=2*4w+2*2+2w
P=8w+4+2w.

Combining like terms, we have P=10w+4.

We know the perimeter is 64, so we have
64=10w+4.

Subtract 4 from both sides:
64-4=10w+4-4
60=10w.

Divide both sides by 10:
60/10 = 10w/10
6=w.

Substitute this into the equation for length: L=4*6+2=24+2=26