Question

brianna made a mosaic in art class with different - shaped tiles. she started by putting 2 ro of t triangle tiles at the top of the mosaic and 2 rows of c circle tiles at the bottom. she finished by putting 20 square tiles in between the triangle and circle tiles. pick all the expressions that represent how many tiles brianna used on her mosaic. 20 + 2t + 2c; 2(20 + t + c); 20 + 4(t + c); 20 + t + t + c + c

Explanation:

Step1: Calculate triangle tile count

Total triangle tiles: $2 \times t = 2t$

Step2: Calculate circle tile count

Total circle tiles: $2 \times c = 2c$

Step3: Sum all tile types

Total tiles: $20 + 2t + 2c$

Step4: Rewrite equivalent expressions

$2t = t+t$ and $2c = c+c$, so $20 + t + t + c + c$ is equivalent.

Step5: Eliminate non-equivalent options

$2(20 + t + c) = 40 + 2t + 2c$ (not equal), $20 + 4(t + c) = 20 + 4t + 4c$ (not equal).

Answer:

A. $20 + 2t + 2c$
D. $20 + t + t + c + c$