One side of the rectangle is 4 cm larger than the other. Find the sides of a rectangle if its area is 45 cm2.

univerkov | December 14, 2020 | education

Let X be the side AB of rectangle ABCD. Then BC = X + 4 S = AB • BC 45 = X (X + 4) 45 = X ^ 2 + 4X X ^ 2 + 4X – 45 = 0 D = 16 + 4 • 45 = 16 + 180 = 196 X1 = (-4 + 16) \ 2 = 6 X2 <0 AB = 6 cm BC = 10 cm
Answer: 6 cm, 10 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.