The length of a rectangle is a two-digit number with identical digits (aa). The width is 1/10 of the length. The perimeter is 2 times the area of the rectangle. Find the length and the width.
+37097 L = lenght
1/10 L = width
perimeter = L + L + 1/10 L + 1/10L = 2 2/10 L
area = L x 1/10L
2 x area = perimeter
2 x L x 1/10 L = 2 2/10 L Divide both sides by L
2/10 L = 2 2/10
L = 22/10 x 10/2
L = 220/20 ===== 11 then W = 11/10
