How To Draw And Label A Rectangle That Has An Area Of 18 Sq Units And A Perimeter Of 18 Units And Give Dimensions Of Another Rectangle That Has The Same Area?

Area formula is A=LW
Perimeter formula is P = 2L + 2W
P = 18
A = 18
Using the area formula
18 = LW
solve for L
L = 18/W
Substitute the 18/W for the L in the Perimeter formula
18 = 2(18/W) + 2W
18 = 36/W + 2W
36/W + 2W - 18 = 0
multiply both sides by W
36 + 2W² - 18W = 0
2W² - 18W + 36 = 0
factor it
(2W - 6)(W - 6) = 0
2W - 6 = 0   W - 6 = 0
2W = 6   W = 6
W = 3

A=LW   A=LW
18=L3   18=L6
L=6   L=3

So, one rectangle has a Length of 6 and a Width of 3
The second rectangle has a Length of 3 and a Width of 6.