Question

The dimensions of a nicotine transdermal patch system are 4.7 cm by 4.8 cm. Express these dimensions in corresponding inches if 1 inch is equivalent to 25.4 mm.

Answer 1

1.85 inches by 1.89 inches.

Explanation:

We have been given that the dimensions of a nicotine transdermal patch system are 4.7 cm by 4.8 cm.

First of all, we will convert given dimensions into mm.

1 cm equals 10 mm.

4.7 cm equals 47 mm.

4.8 cm equals 48 mm.

We are told that 1 inch is equivalent to 25.4 mm, so to find new dimensions, we will divide each dimension by 25.4 as:

`\frac{47\text{ mm}}{\frac{25.4\text{ mm}}{\text{inch}}}=\frac{47\text{ mm}}{25.4}* \frac{\text{ inch}}{\text{mm}}=1.85039\text{ inch}\approx 1.85\text{ inch}`

`\frac{48\text{ mm}}{\frac{25.4\text{ mm}}{\text{inch}}}=\frac{48\text{ mm}}{25.4}* \frac{\text{ inch}}{\text{mm}}=1.8897\text{ inch}\approx 1.89\text{ inch}`

Therefore, the corresponding dimensions would be 1.85 inches by 1.89 inches.