Like tiles are tiles that have the same shape. Group like tiles together and remove the zero pairs. Draw the result below. Then write an expression for your drawing.

1 answer

Here is a possible drawing of like tiles:

[asy]
unitsize(1.5cm);

pair A, B, C, D, E, F;

A = (0,0);
B = (1,0);
C = (2,0);
D = (3,0);
E = (4,0);
F = (5,0);

draw((A)--(B)--(C)--(D)--(E)--(F));
draw((A)--(0,1)--(B)--(1,1)--(C)--(2,1)--(D)--(3,1)--(E)--(4,1)--(F));
draw((A)--(0,2)--(B)--(1,2)--(C)--(2,2)--(D)--(3,2)--(E)--(4,2)--(F));

label("$2$", (A + B)/2, S);
label("$2$", (B + C)/2, S);
label("$2$", (C + D)/2, S);
label("$2$", (D + E)/2, S);
label("$2$", (E + F)/2, S);

label("$2$", (A + 0,1)/2, W);
label("$2$", (B + 1,1)/2, W);
label("$2$", (C + 2,1)/2, W);
label("$2$", (D + 3,1)/2, W);
label("$2$", (E + 4,1)/2, W);
label("$2$", (F + 5,1)/2, W);

label("$2$", (A + 0,2)/2, W);
label("$2$", (B + 1,2)/2, W);
label("$2$", (C + 2,2)/2, W);
label("$2$", (D + 3,2)/2, W);
label("$2$", (E + 4,2)/2, W);
label("$2$", (F + 5,2)/2, W);
[/asy]

An expression for this drawing is $(2+2+2+2+2)+(2+2+2+2+2)+(2+2+2+2+2)=3(2+2+2+2+2)=3(10)=30$.