Use the following model to answer the question.

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?

A rectangle is divided into two sections by a vertical line. The left section is labeled inside with 280. The left edge of the rectangle is labeled 14. Across the top outside of the rectangle, the sections are labeled A tens, an addition sign above the vertical line, and B.

(1 point)
Responses

2 tens + 2 = 22

2 tens + 2 = 22

2 tens + 4 = 24

2 tens + 4 = 24

2 tens + 7 = 27

2 tens + 7 = 27

2 tens + 8 = 28

2 tens + 8 = 28
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Answer 1

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

Area = Length × Width

We know the area of the sod he bought is 378 square feet, and the width is 14 feet. We can plug these values into the formula and solve for the length.

378 = Length × 14

To isolate Length, divide both sides of the equation by 14:

Length = 378 ÷ 14

Calculating this gives:

Length = 27

Thus, the length of the yard is 27 feet.

Among the given options, the correct representation for the length is:

2 tens + 7 = 27.