Question

We are interested in the dimensions of a certain square. A rectangle has length twice the side of this square and width three units less than the side of this square. Which equation describes this situation if the two areas are equal?

Answer 1

• D) x² = 2x(x - 3)

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If the square has a side of length x then the rectangle has sides:

• l = 2x and
• w = x - 3

Find areas

The square has area of:

• A = s², where s - side length
• A = x²

The rectangle has area of:

• A = lw, where l- length, w - width
• A = 2x(x - 3)

We know areas are equal, it is reflected as:

• x² = 2x(x - 3)

The matching choice is D.