Use the following model to answer the question.

Javier is putting down sod at his new house. The width of his rectangular yard is 14 feet. He bought 378 square feet of sod. Which of the following is the length of the yard in feet?

2 tens + 2 = 22
2 tens + 4 = 24
2 tens + 7 = 27
2 tens + 8 = 28

1 answer

To find the length of the yard, we can use the formula for the area of a rectangle, which is:

\[ \text{Area} = \text{Width} \times \text{Length} \]

We know the area of the yard (378 square feet) and the width (14 feet), so we can set up the equation:

\[ 378 = 14 \times \text{Length} \]

To find the length, we can divide both sides by 14:

\[ \text{Length} = \frac{378}{14} \]

Now, let's perform the division:

\[ 378 \div 14 = 27 \]

So, the length of the yard is 27 feet.

From the options given:

  • 2 tens + 2 = 22
  • 2 tens + 4 = 24
  • 2 tens + 7 = 27
  • 2 tens + 8 = 28

The correct answer is 2 tens + 7 = 27.