Question

How u can show that a rectangle area and perimeter r same

Answer 1

Perimeter and circumference are the measure of the exterior distance for any polygon and circle. The x just represents any given unit of measuere be it inches or meters, feet, or yards.

You just add up the sides for Perimeter. Area is length times width for rectangles. So in you example, 8 is the length and 2 is the width.
There are two lenths and 2 widths for the perimeter. Here the perimete is 20. The area is simpley width times length or 16 square units so you know that one.

In a circle, the circumference is two times the radius times Pi. Pi is like 3.14159 26535 something but most high schools will just use 3.14 or 3.142. ( i cant remember past those digits. three point one four one five nine is like a phone number. when I was 26 i wanted to buy a BMW 535)

OK so circumference is (3r plus 3r) times pi or 2*r*Pi. it is like almost 19 units.. you can do the multiplication.

Area is a bit tricky to remember becaue it is Pi * r times r.
3*3*3.14159 is almost 28 square units.

Remember Circumference is two pie r
and area is pie r squared.


the formula for perimeter of a rectangle is 2(L + W)
so for this problem it is 2(8x + 2x) = 2(10x) = 20x

for the circle:
P = 2pir = 2(pi)3x = 6(pi)x
A = (pi)r^2 = (pi)(3x)^2 = 9pix^2

Hope that helps!