Final answer:
To find the area of the rectangle, multiply the length by the width. The area is 375 cm². To find the perimeter, add up all four sides of the rectangle. The perimeter is 80 cm.
Step-by-step explanation:
To find the area of a rectangle, we can use the formula:
Area = Length x Width
Given that the width is 15 cm and it is 3/5th of the length, we can set up the equation:
15 = (3/5)L
To solve for L, we can multiply both sides of the equation by 5/3:
L = (5/3) x 15 = 25 cm
Now, substitute the values of L and W into the formula to find the area:
Area = 25 x 15 = 375 cm²
To find the perimeter of a rectangle, we can use the formula:
Perimeter = 2(Length + Width)
Substitute the values of L and W into the formula to find the perimeter:
Perimeter = 2(25 + 15) = 80 cm.