Question

Which of the following is a true statement?
a) it is possible for two rectangles to have the same area, but only if they also have the same perimeter
b) it is possible for two rectangles to have the same area without having the same perimeter
c) it is possible for two squares to have the same area without having the same perimeter
d) it is possible for two squares to have the same perimeter without having the same area

Answer 1

consider two rectangles :

3x2

6x1

Answer 2

do they have same area ?

Answer 3

yes

Answer 4

good, what about perimeter ?

Answer 5

can you give me an example of perimeter

Answer 6

3x2
Area = 3*2 = 6
Perimeter = 2(3+2) = `10`

6x1
Area = 6*1 = 6
Perimeter = 2(6+1) = `14`

Answer 7

Clearly both rectangles have same area but different perimeters

Answer 8

so b

Answer 9

Yep!

Answer 10

Thank you so much!!!

Answer 11

yw