Which has the larger area, a square with sides that are x +1 units long or a rectangle with a length of x +2 units and a width of x units?

a. square
b. rectangle

A. Square

Explanation:

The square with sides: x+1

Has an area of: (x+1)^2

The rectangle with sides: x+2 and x

Has an area of: x(x+2)

So we simplify the square: (x+1).(x+1)= x^2+2x+1

Simplifying the rectangle: x^2+2x

Therefore the square area is larger by one unit.

Hope you get it!

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step-by-step explanation: