the floor of a room is a rectangle. it has a perimeter of 22m and an area of 24 square meters.

what are the length and width of the room?

length --- x

width --- y

x+y = 11 or y = 11-x

xy = 24
x(11-x) = 24
x^2 - 11x + 24 = 0
(x-3)(x-8) = 0
x = 3 or x = 8

if x=3, y = 8
if x = 8, y = 3

the room is 3 by 8

This must be a closet.

The factors of 24:

3 * 8
4 * 6
2 * 12

Which of those dimensions would give a perimeter of 22 m?

im in grade 4 i don't know what that is

Perimeter = 2 times length plus 2 times width

rieny that doesent make sense it cant be.

Maya, if you only in grade 4, then forget about my solution.

Go with what Ms Sue has shown you.

the room is 3 metres by 8 metres

check : 3+8 + 3+8 = 22
3x8 = 24

wow thanks rieny :)