Final answer:
To find the perimeter of the rectangle, multiply the width (10 cm) by 4 to get the length (40 cm), then sum twice the width and length to find the perimeter (100 cm or 1 meter).
Step-by-step explanation:
To calculate the perimeter of a rectangle, you add together the lengths of all four sides. If a rectangle has a width of 10 cm and its length is 4 times the width, then the length is 4 × 10 cm = 40 cm. Therefore, the perimeter is the sum of twice the width plus twice the length, which can be written as:
P = 2 × (width) + 2 × (length)
P = 2 × 10 cm + 2 × 40 cm
P = 20 cm + 80 cm
P = 100 cm or 1 meter
Note: The perimeter of the rectangle is 100 cm or 1 meter.