The sides of the rectangle are 4: 7, and the larger side is 91 cm. Find the smaller side, perimeter, and area of this rectangle.

In a rectangle, opposite sides are equal. Known large side = 91 cm, let the smaller side – X. Then you can make a proportion. 4: 7 = X: 91. The main property of the proportion is the product of extreme terms is equal to the product of averages. 7 * x = 91 * 4. 7 * x = 364. X = 52. This means that the smaller side is 52 cm. The area formula for a rectangle: S = ab. S = 52 * 91 = 4732 square cm.Perimeter formula: P = 2 * (a + b). P = 2 * (52 + 91) = 2 * 143 = 286 cm.
The answer is 52 cm smaller side, 4732 square cm area and 286 cm perimeter of the rectangle.