Question

The perimeter of a rectangle is at most 24 cm. Two opposite sides are both 4cm long. What are the possible lengths of the other two sides?

Answer 1

Length of other two sides `color(red)((l) is 8 cm)` each

Explanation:

Perimeter (p) of a rectangle is `2 ( l + b)` where l is the length and b is the breadth.
As rectangle is having a pair of longer sides (l) and a pair of shorter ones (b).

Given Perimeter (p) as 24 cm and breadth (b) 4 cm

`p = 2(l + b) = 2l + 2 b`

`24 = 2l + (2*4)`

`2l = 24 - 8 = 16`

`l = 16 / 2 = 8 cm`

Length of other two sides (l) is 8 cm each