Answer:
Explanation:
To find the area and perimeter of a rectangle, we need to determine the length of the rectangle first.
Given that the width of the rectangle is 15 cm, and it is stated that the width is 3/5 of its length, we can set up the following equation:
15 cm = (3/5) * length
To solve for the length, we can multiply both sides of the equation by 5/3:
(15 cm) * (5/3) = length
Simplifying, we find that the length of the rectangle is 25 cm.
Now that we know the dimensions of the rectangle, we can calculate its area and perimeter:
1. Area of the rectangle:
The area of a rectangle is given by the formula length * width. In this case, the length is 25 cm and the width is 15 cm, so the area is:
Area = length * width = 25 cm * 15 cm = 375 square cm
Therefore, the area of the rectangle is 375 square cm.
2. Perimeter of the rectangle:
The perimeter of a rectangle is calculated by adding up all its sides. In this case, the rectangle has two sides with a length of 25 cm and two sides with a length of 15 cm. So the perimeter is:
Perimeter = 2 * (length + width) = 2 * (25 cm + 15 cm) = 2 * 40 cm = 80 cm
Therefore, the perimeter of the rectangle is 80 cm.
In summary, the area of the rectangle is 375 square cm and the perimeter is 80 cm.