Find the perimeter and area of a rectangle if its width is 15 dm and the ratio of length to width is 4/3.

The ratio of length to width is 4/3, that is, the length is 4 parts, and the width of the rectangle is 3 of the same parts.

The width is 15 inches, which is 3 parts. Let’s find the size of each part: 15: 3 = 5 (dm).

The length is 4 parts, which means that the length is 4 * 5 = 20 (dm).

Let’s calculate the perimeter of the rectangle (the perimeter is the sum of the lengths of all sides):

P = 15 + 20 + 15 + 20 = 70 (dm).

We calculate the area of the rectangle (the area is equal to the product of the length and width):

S = 15 * 20 = 300 (dm²).

Answer: the perimeter of the rectangle is 70 dm², and the area is 300 dm².