Question

A farmer's corn field is a triangle with side lengths of 16 feet, 24 feet, and 32 feet. The farmer plans to increase each side length by the same number of feet. Which expression represents the perimeter of the larger corn field?

1) x + 24 + x + 24 + x + 24
2) 3x + 24 + 3x + 24 + 3x + 24
3) 3(x + 24) + 3(x + 24) + 3(x + 24)
4) 3(x + 72)

Answer 1

The expression that represents the perimeter of the larger corn field is x + 24 + x + 24 + x + 24.

Step-by-step explanation:

The farmer plans to increase each side length of the corn field by the same number of feet. Let's call this number x. So, the new side lengths of the triangle will be 16 + x, 24 + x, and 32 + x. To find the perimeter of the larger corn field, we add up the side lengths. The expression that represents the perimeter is 16 + x + 24 + x + 32 + x.

So, the correct expression is x + 24 + x + 24 + x + 24. Therefore, the answer is option 1.