Question

haley is setting up chairs for an outdoor concert. she starts by making one section that has x rows. each row also has x chairs. after she finishes the first section, she makes a second section that is identical to the first. in the end, haley uses a total of 200 chairs to make both sections. which equation can you use to find x? $2x^{2}+2x = 200$ $2x^{2}=400$ $4x^{2}=200$ $2x = 200$ $x^{2}=200$ $2x^{2}=200$

Explanation:

Step1: Find chairs in one section

One section has \( x \) rows and \( x \) chairs per row, so chairs in one section: \( x \times x = x^2 \).

Step2: Find chairs in two sections

Two identical sections, so total chairs: \( 2 \times x^2 = 2x^2 \).

Step3: Set up equation

Total chairs used are 200, so \( 2x^2 = 200 \).

Answer:

\( 2x^2 = 200 \) (the last option among the given choices)