Question

A cell phone company is releasing two new cell phones with different

screen sizes. Screen 1 has a length that is 4 centimeters longer than Its
width, s, and screen 2 has the same length as screen 1, but is 2
centimeters wider than screen 1. The area of screen 2 is 16 square
centimeters more than the area of screen 1.

Which equation will help find the area of screen 2?
A. (2s + 4)(2s + 6) = 16
B. (2s + 4)(2s + 6) + 16 = 0
C. s(s + 4) + 16 = (s + 2)(s + 4)
D. s(s + 4) + (s + 2)(8 + 4) = 16

Answer 1

The equation that will help find the area of screen 2 is: C. s(s + 4) + 16 = (s + 2)(s + 4). The length of screen 1 is 4 centimeters longer than its width, s. The length of screen 2 is the same as screen 1, but 2 centimeters wider. The area of screen 2 is 16 square centimeters more than the area of screen 1.

Step-by-step explanation:

The equation that will help find the area of screen 2 is: C. s(s + 4) + 16 = (s + 2)(s + 4).

To understand why this equation is correct, let's break it down step by step:

1. The length of screen 1 is 4 centimeters longer than its width, s. So, the length of screen 1 is s + 4.
2. The length of screen 2 is the same as screen 1, so it is also s + 4.
3. The width of screen 2 is 2 centimeters wider than screen 1, so it is (s + 4) + 2 = s + 6.
4. The area of screen 1 is length x width = (s + 4)(s).
5. The area of screen 2 is length x width = (s + 4)(s + 6).
6. The problem states that the area of screen 2 is 16 square centimeters more than the area of screen 1. Therefore, the equation is: (s + 4)(s + 6) = s(s + 4) + 16.