Find the sides of the rectangle, knowing that the aspect ratio is 5/7 and the area is 140 dm ^ 2.

A rectangle is a quadrilateral in which all corners are right and opposite sides are equal.

The area of a rectangle is equal to the product of its length and width:

S = AB * BC.

Since the sides of the rectangle are 5: 7, we express it as follows:

5x – the length of the rectangle AB;

7x – width of the BC rectangle;

5x * 7x = 140;

35x ^ 2 = 140;

x ^ 2 = 140/35 = 4;

x = √4 = 2;

AB = 5 * 2 = 10 cm;

BC = 7 * 2 = 14 cm.

Answer: the sides of the rectangle are equal to AB = 10 cm, BC = 14 cm.