Question

Sam used algebra tiles to make this model of an equation. Based on Sam's equation what statement is true.

Answer 1

(B)

Explanation:

Let us denote rectangular tiles by R and square tile by S, then

According to figure.

3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles

∴3R+2S+2R=2R+4S+R+4S

⇒5R+2S=3R+8S

⇒5R-3R=8S-2S

⇒2R=6S

⇒R=3S

Hence, 0ne rectangle =3 square