Answer :
Final answer:
To find the length and width of a rectangle when given its perimeter and a relation between its length and width, we can write and solve an equation. The length of the rectangle is found to be 41 cm and the width is 19 cm.
Explanation:
To solve this problem, let's first assign variables to the length and width of the rectangle. Let the width be x cm. According to the problem, the length is 3 cm more than twice the width, so the length would be 2x + 3 cm. The formula for the perimeter of a rectangle is 2(length + width), so we can write the equation as:
2(2x + 3 + x) = 120
4x + 6 + 2x = 120
6x + 6 = 120
6x = 114
x = 19
So the width of the rectangle is 19 cm. Substituting this value into the expression for the length, we get:
length = 2(19) + 3 = 41 cm
Therefore, the length of the rectangle is 41 cm and the width is 19 cm.
Learn more about Rectangle Dimensions here:
https://brainly.com/question/35474401
#SPJ11
