The sides of the rectangle are in the ratio 3: 4. The area of the rectangle is 48 cm2. Find the sides of the rectangle?

1. Let the length of one part be equal to y, then we compose the expression for the area of the rectangle:

3y * 4y = 48,

12y ^ 2 = 48,

y ^ 2 = 48/12,

y ^ 2 = 4,

y = √4,

y = 2 cm.

2. Find the sides of the rectangle by multiplying the length of one part by the number of parts corresponding to the sides:

1 side = 3 * 2 = 6 cm.

2 side = 4 * 2 = 8 cm.

Answer: the lengths of the sides of the rectangle are 6 cm and 8 cm.