Question

cara is buying a rug to match the new wall color in her room. at the store, she found a square rug with an area of s square feet and a rectangular rug with an area of 35 square feet. she decided to buy the rectangular rug because it was 10 square feet larger than the square rug. which diagram models the story? diagrams omitted which equation models the story? options: $s - 10 = 35$, $s + 10 = 35$

Explanation:

Step1: Analyze area relationship

The rectangular rug (35 sq ft) is 10 sq ft larger than the square rug ($s$ sq ft). So $s + 10 = 35$, meaning $s$ is shorter than 35 by 10.

Step2: Match to diagram

The diagram with $s$ as the shorter bar and 35 as the longer bar (with a 10 extension from $s$) fits.

Step3: Confirm equation

From the relationship: $s + 10 = 35$.

Answer:

Diagram: The second diagram (with 35 as the top full bar, $s$ as the shorter bottom bar with a 10 extension)
Equation: $s + 10 = 35$