SOLUTION: 1. Which has the greater area, a square with sides x + 1 units long or a rectangle with lengths x + 2 units and width x units? How much greater?

Question 507063: 1. Which has the greater area, a square with sides x + 1 units long or a rectangle with lengths x + 2 units and width x units? How much greater?

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The area of the square with sides of (x+1) is:

The area of the rectangle with sides (x+2) and (x) is:

Subtract the area of the rectangle from the area of the square:

-()
-----------
The area of the square is larger by 1 square unit.
RELATED QUESTIONS
Which has a greater area, a square with sides that are x - 1 units long or a rectangle (answered by Alan3354,solver91311)

Please help me from this question ( one rectangle is ( 2x+1 ) units wide and ( 4+x )... (answered by josgarithmetic)

A rectangle with length 2x-1 and width x+5 has an area of 156 square units. Find... (answered by xdragonfight)

Given a rectangle with an area of 20 square units if the width is x units and the length... (answered by ikleyn)

A rectangle with a length of 3 and width of ("x- 1")has an area of "m" square units and... (answered by edjones)

11. A right triangle has legs with lengths x units and 7 units. The hypotenuse has length (answered by josmiceli)

A right triangle has legs with lengths x units and 7 units. The hypotenuse has length x+1 (answered by solver91311)

The length of a rectangle with an area of (x^2 + 10x) square units if the width is x... (answered by CubeyThePenguin)

I have a geometry study guide that I honestly do not understand at all. I need answers... (answered by Fombitz)