Answer:
Lenght = 12 cm
Width = 4 cm
Step-by-step explanation:
Let the width of the rectangle be x cm.
Therefore, length = 3x
[tex] \because \: P(rectangle) = 2 (length + width) \\ \therefore \: 32 = 2(3x + x) \\ \therefore \: 32 =2 \times 4x \\ \therefore \: 32 =8x \\ \\ \therefore \: x = \frac{32}{4} \\ \\ \therefore \: x = 4 \: cm \\ \therefore \: 3x = 3 \times 4 = 12 \: cm \\ \implies \\ length \: of \: rectangle = 12 \: cm \\ width \: of \: rectangle = 4 \: cm[/tex]
