Question

How many different kinds of rectangles can you make with the perimeter of 24cm? Find the area of each rectangle. Write your conclusion.

Answer 1

(You haven't mentioned, so I am assuming, we need integer solutions for length and breadth)
So, Perimeter of rectangle = 24 cm
Perimeter = 2(L + B) = 24 where L > W

2(L + B) = 24
L + B = 12

The set of breadths B and lengths L that satisfy this equation are (B, L)

(1,11)

(2,10)

(3,9)

(4,8)

(5,7)

(6,6)

Areas of such sets of (B, L) are given by B x L, 
(1,11) = 11 cm²
(2,10) = 20 cm²
(3,9) = 27 cm²
(4,8) = 32 cm²
(5,7) = 35 cm²
(6,6) = 36 cm²

Answer 2

Answer:

I hope it will help you a lot