Javier is putting down sod at his new house the width of his rectangular yard is 14 ft He bought 378 ft² of sod which of the following is the length of the yard in feet A 2 tens + 2 = 22 B 2 tens + 4 = 24 C 2 tens + 7 = 27 D 2 tens + 8 = 28

1 answer

To find the length of Javier's yard, we need to use the area of the rectangular yard formula, which is:

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

Javier has a width of 14 ft and an area of 378 ft². We can set up the equation:

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

To find the length, we can solve for "Length" by dividing both sides by 14:

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

Now, let's calculate:

\[ \text{Length} = 27 \text{ ft} \]

Looking at the options provided:

A: \( 2 \text{ tens} + 2 = 22 \)

B: \( 2 \text{ tens} + 4 = 24 \)

C: \( 2 \text{ tens} + 7 = 27 \)

D: \( 2 \text{ tens} + 8 = 28 \)

The correct answer is C: \( 2 \text{ tens} + 7 = 27 \) ft.