Question

Two blueberry farms are similar in shape. The ratio of the side lengths of the farms is 4 : 5, and the smaller farm has a perimeter of 280 yards. The cost to dig a trench is $0.75 per yard. What is the cost to dig a trench around the larger blueberry farm?

Answer 1

Answer: $262.5‬0

Step-by-step explanation:

The yards are sized in a ratio of 4:5.

Assuming the perimeter of both farms is x, the formula to calculate it will be;

$\frac{4}{4 + 5} x = 280\\\\x = 280/\frac{4}{9} \\\\x = 630 yards$

The perimeter of the larger fence will therefore be;

= 630 - 280

= 350 yards

The cost to dig the trench will be;

= 350 * 0.75

= $262.5‬0