Find a polynomial for the perimeter and for the area(Do not factor)
the given sides of the rectangle are z+4 for one side an z for the other
for the perimeter I got z(z+4)
for the area I have z^2 +4z + 16
I have no clue, if this is wrong? is someone willing to guide me Please, with the steps?
Okay, HOW did you get those answers? If your text book has a problem like this surely it has formulas for perimeter and area. Did you look at them?
Originally Posted by NotThatGood
The "perimeter" is the total distance around the rectangle. Imagine drawing a large rectangle on the ground and actually measuring the distances. There are, of course, 4 sides, 2 with length z and 2 with length z+ 4. You might first measure the length z, then the length z+ 4 and add them to get the length around those first two sides, then add the third side, another z, and finally, the fourth side, another z+ 4. The total distance is the sum of those: z+ z+4+ z+ z+ 4 which is also equal to 2z+ 2(z+ 4) or 4z+ 8.
Notice this does NOT involve multiplying two lengths together. That is
because "perimeter" is a distance measure. If the sides were measured in meters, then the perimeter is measured in distance also. If we multiplied two lengths together, the units would be " " or "square meters", an area measurement. In fact, the area of this rectangle is the product of the two side lengths, z(z+4), what you used for "perimeter".
I'm not sure how you got . Perhaps you were thinking of the area of a square, and were trying to do . But that, of course, ignores the length "z". And, if that was what you were trying to do, you multiplied wrong: .