Question

1. a. what shape is the array pictured below?

b. in the space below, redraw the above shape with one more column.
c. what shape is the array now?
d. draw a different array of tiles that is the same shape as 4(c).
lesson 10: use square tiles to compose a rectangle, and relate to the array model.
© great minds fbc teks edition
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Explanation:

Step1: Identify original array shape

Count rows ($4$) and columns ($3$). It has 4 rows and 3 columns, with four right angles, so it is a rectangle.

Step2: Redraw array with 1 more column

Add 1 column to the original 3 columns, resulting in 4 rows and 4 columns:

□ □ □ □
□ □ □ □
□ □ □ □
□ □ □ □

Step3: Identify new array shape

The new array has 4 equal sides and four right angles, so it is a square.

Step4: Draw different same-shape array

A square array can also have the same side length but arranged as a 4x4 array in a different orientation (or use a 2x2 array is incorrect, must match 4x4 shape; alternative: a 4x4 array with tiles grouped differently but same overall square shape):

■ ■ ■ ■
■ ■ ■ ■
■ ■ ■ ■
■ ■ ■ ■

(Note: This is a different visual representation using filled squares instead of outlined, maintaining the square shape)

Answer:

a. Rectangle
b.

□ □ □ □
□ □ □ □
□ □ □ □
□ □ □ □

c. Square
d.

■ ■ ■ ■
■ ■ ■ ■
■ ■ ■ ■
■ ■ ■ ■