What are the sides of the rectangle a and b, if they are 3: 4, and the area of the rectangle is 2028 cm2?

The sides of the rectangle a and b are related as 3: 4. Let’s denote a for 3x, b for 4x.
S = a * b
S = 3x * 4x
12x ^ 2 = 2028
x ^ 2 = 2028/12
x ^ 2 = 169
x = 13
a = 3x
a = 3 * 13 = 39 (cm)
b = 4 * 13 = 52 (cm)
Answer: a = 39 cm, b = 52 cm.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.