Find the area of a rectangle if its perimeter is 102 and the ratio of adjacent sides is 2:15.

Since the aspect ratio of the rectangle is 2:15, we can write
that one side is equal to 2x, and the other 15x. The perimeter of the rectangle is
the sum of all its sides. Since the rectangle has opposite sides
are equal, then P = 2 * a + 2 * b. Substituting the known values of the perimeter, we get:
102 = 2 * 2x + 2 * 15x, 102 = 34x, x = 3 cm.Let’s find the sides of the rectangle:
side a = 2 * 3 = 6 cm, and side b = 15 * 3 = 45 cm. Area of a rectangle
equal to the product of length and width: S = a * b, S = 6 * 45 = 270 sq cm.Answer:
the area of the rectangle is – 270 sq cm.