Question

Two blueberry farms are similar in shape. The ratio of the side lengths ofthe farms is 4:5, and the smaller farm has a perimeter of 360 yards. Thecost to dig a trench is $0.75 per yard. What is the cost to dig a trench pls someone answer as fast as u canaround the larger blueberry farm?

Answer 1

The cost to dig a trench around the larger blueberry farm is $337.50

Step-by-step explanation:

To find the cost to dig a trench around the larger blueberry farm, we first need to determine the perimeter of the larger farm. Since the two farms are similar in shape, the ratio of their side lengths is 4:5. This means that the side length of the larger farm is 5/4 times the side length of the smaller farm.

The smaller farm has a perimeter of 360 yards, so we can set up the equation 2x + 2(5/4x) = 360 to find the side length of the smaller farm (let x be the side length of the smaller farm). Solving this equation, we get x = 80, which means the side length of the larger farm is (5/4) * 80 = 100 yards.

The cost to dig a trench is $0.75 per yard, so we can calculate the cost to dig a trench around the larger farm by multiplying the perimeter (2 * 100 + 2 * 125 = 450 yards) by the cost per yard, giving us a total cost of $337.50.