Question

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.

Answer 1

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 $(2+2+2+2+2)+(2+2+2+2+2)+(2+2+2+2+2)=3(2+2+2+2+2)=3(10)=30$.