I am given the perimeter of the rectangle. It is 96cm. The length is 3 times the width. What are the measurements of the 4 sides of the rectangle? I need the formula please.The answer is 12 and 36, I think.
You have to create your own "formula" or equation by translating the English into Math.
<<The length is 3 times the width.>> --->
If we let the width be x, then the length is 3x
The perimeter is made up of twice the length plus twice the width and that is given to be 96
so...
2(3x) + 2(x) = 96
there is your formula, all you have to do is solve it to get x= 12
To find the measurements of the sides of a rectangle given its perimeter and the relationship between its length and width, we can follow these steps:
1. Let's assume the width of the rectangle is "w" cm.
2. According to the problem, the length is 3 times the width, so the length would be "3w" cm.
3. The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
4. Substituting the values we have, we get 96 = 2(3w + w).
5. Simplifying the equation, we have 96 = 2(4w).
6. Further simplifying, we get 96 = 8w.
7. Dividing both sides of the equation by 8, we find w = 12.
8. Since the length is 3 times the width, the length would be 3 * 12 = 36.
9. Therefore, the measurements of the four sides of the rectangle are 12 cm, 12 cm, 36 cm, and 36 cm.
So, the measurements of the sides of the rectangle are indeed 12 cm, 12 cm, 36 cm, and 36 cm, as you correctly stated.