perimeter question ???

Question

if two rectangles have the same perimeter, do they have the same area ??

Answer 1

Not necessarily. For example, a 4 x 5 rectangle would have an area of 20 square units, while a 3x6 rectangle would have an area of 18 units. Even though the perimeters of both are 18 units.

Stated more generally: if a rectangle has two different side lenghts A and B, the the perimeter P is P=2A+2B. This means if you know P and A, then B is (P-2A)/2. So the area is A*B = A(P-2A)/2. Notice that you can keep the same value for P but change A around all you want, and get a different values for the area.

Answer 2

no. for example: one rectangle has sides of length 5 (actually a square, but it doesnt matter) 5*5 = 25 while perimeter is 20 another rectangle has length 8 and width 2, the area is 16 but the perimeter is still 20

Answer 3

You can test this yourself...

Have a rectangle that has four outside faces of 4-4-4-4.
Have another rectangle that has four outside faces of 7-1-7-1.
Have a third rectangle that has four outside faces of 3-5-3-5.
Have a fourth rectangle that has four outside faces of 2-6-2-6.

The perimeter of all four is 16.

The area of the first is 16.
The area of the second is 7.
The area of the third is 15.
The area of the fourth is 12.

So your answer would be no. :)

Answer 4

No

If one rectangle were 2x6, the area is 12sq units the perimeter is 16.

if a second triangle were 4x4, the perimeter is l6, as well but the area is 16 sq units,, not 12

Answer 5

no, because the perimeter is 2(length)+2(width)
so i could have an area of 30 = 2(20)+2(5)
another one could have a perimter of 30 also but it could be 2(9)+2(6). Since area is Length (width) the two would not have the same area, even if they have the same perimeter.

Answer 6

no because if do 3X3=9 which is square but perimeter is
3+3+3+3 = 12

Answer 7

This is true but the Lakers need to stop playing like this. Their offense were good and another clutch 3 from Kobe. But the poor defense and a poor job protecting those two double digit leads were really the killers in this game. Good news, Lakers still better than Celtics... Bad news, Cavs are now #1 team in NBA (record wise) BQ: Nope, I wore my blue old school Lakers jersey.

Answer 8

not true maximum area for a fixed perimeter will be a square

Answer 9

not true

perimeter of a rectangle is 2x (a+b) if the sides are of length a and b

The area of that rectangle is a x b

2 (a+b) is not equal to a x b

Answer 10

Depends on the rectangle.
If you're strictly speaking one dimensional, the answer is yes.
If it's 3 dimensional, the answer is maybe - depends on the height