Comparing Functions and Geometric Properties — Test
Question 23 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
Complete the work to find the dimensions of the rectangle. Student's Work x times open paren x minus 3 close paren is equal to 10 x squared minus 3 x is equal to 10 x squared minus 3 x minus 10 is equal to 10 minus 10 open paren x plus 2 close paren times open paren x minus 5 close paren is equal to 0 What are the width and length of the rectangle?
Answer
A
The width is 1 meter and the length is 10 meters.
B
The width is 2 meters and the length is 2 meters.
C
The width is 10 meters and the length is 1 meter.
D
The width is 2 meters and the length is 5 meters.
Explanation
The area equation is x(x − 3) = 10, so x² − 3x − 10 = 0. Factoring gives (x + 2)(x − 5) = 0, so x = −2 or x = 5. A dimension cannot be negative, so use x = 5; the other dimension is x − 3 = 2. The rectangle is 2 meters wide and 5 meters long.
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