Answer:
5cm (width) 18cm (height)
Explanation:
From the text, the unknown number's value for the length of the width isn't disclosed, so we can mark it as a variable, for this case "x" as it is the most common variable to utilize in this case. We know that the length is 3 more than 3 times the width (x), so the length is 3+3x. The perimeter of the shape is 46 cm, and as we know, the perimeter is the sum of adding the length of all the sides and edges enclosing the shape, so therefore we can create a math sentence with the given information.
x+(3+3x)+x+(3+3x)=46 cm
OR
2(x+3+3x) =46 cm
Now, lets solve it.
2x+6+6x=46 (simplified)
8x+6=46 (combined variables)
8x=40 (subtracted)
x=5cm (divided)
Yay!! Now we have our answer, BUT WE ARE NOT DONE YET.
We need to replace our number in place of "3+3(x)," as well as "x." "x" is 5cm (width), and 3+3(x) is now 3+3(5), and is equal to 18cm. Hope this helped!!!!!!!!