Question

An adding machine tape has a width of 5.80 cm. A long strip of it is torn off and measured to be 5.6 m long. What is the area of this rectangular strip in cm². Show work.

Answer 1

To find the area of the rectangular strip, multiply its length by its width and convert the unit. The area of the strip is 3248 cm².

Step-by-step explanation:

To find the area of the rectangular strip, we need to multiply its length by its width. The length of the strip is given as 5.6 m. To find the width in centimeters, we need to convert 5.80 cm to meters by dividing it by 100. Therefore, the width is 0.058 m. Now, we can calculate the area by multiplying the length and width together:

Area = Length × Width = 5.6 m × 0.058 m = 0.3248 m2

Finally, we can convert the area from square meters to square centimeters by multiplying it by 10,000 since 1 m2 = 10,000 cm2:

Area (in cm2) = 0.3248 m2 × 10,000 = 3248 cm2