Final answer:
The question contains a unit inconsistency. Assuming the border's area should be in square meters, it is approximately 5.581 m², which does not match any of the given options. Conversion errors or additional clarifications may be required in the question.
Step-by-step explanation:
The question seems to contain a unit inconsistency, mentioning the border in inches while the pond radius is given in meters. Assuming the intent was to ask for the area of the border in square meters, we can calculate it as follows:
The area of the larger circle (pond + border) is given by A = πr², where r is the radius of the pond including the border. First, we must convert the border from inches to meters (since there are 39.3701 inches in a meter). The 20-inch border is equivalent to 20 / 39.3701 meters, which approximately equals 0.508 meters.
Now, we add the border width to the radius of the pond: 1.5 meters + 0.508 meters = 2.008 meters. The area of the large circle is then π(2.008 m)². Calculating this gives an area of approximately 12.65 square meters for the larger circle.
To find the area of the border, we need to subtract the area of the pond from the area of the larger circle. The pond's area is π(1.5 m)², which equals approximately 7.069 square meters. Therefore, the border area is about 12.65 square meters - 7.069 square meters = 5.581 square meters.
Since none of the provided options (a through d) are correct or in the right units, there seems to be a mistake in the question. If the border area ought to be in square inches, an additional conversion is needed to change 5.581 square meters into square inches (1 square meter = 1550.0031 square inches).