Answer :
Answer:
12 is the width so 12 + 12 + 48 + 48 hope this helps :)
Step-by-step explanation:
Final answer:
The dimensions of the rectangle are found by setting up the equation 120 = 2(4w) + 2w using the perimeter formula. After simplifying, we find the width to be 12 cm and the length to be 48 cm.
Explanation:
To determine the dimensions of a rectangle with a perimeter of 120 centimeters where the length is 4 times its width, we use the perimeter formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Given the perimeter (P) is 120 cm, and the length (l) is 4 times the width (w), we can set up the equation 120 = 2(4w) + 2w.
Simplify the equation to find the width:
120 = 8w + 2w
which simplifies to
120 = 10w.
Divide both sides by 10 to get
w = 12 cm.
Then, to find the length, multiply the width by 4:
l = 4w = 4(12) = 48 cm.
Thus, the dimensions of the rectangle are a width of 12 cm and a length of 48 cm.
Learn more about Rectangle Dimensions here:
https://brainly.com/question/31677552
#SPJ2
