A farmer has a rectangular plot of land with an area of 300 square feet, as shown in the diagram. Identify the equation to calculate the missing length based on the diagram. A equals 300 square feet, height 15, length 6 X 4.

Question

A.15(6+x)=300
B. 15(6)+x+15(4)=300
C.15(x+10)=300
D. 15x=300

Answer 1

To analyze the problem based on the information provided, we need to think about the dimensions of the rectangular plot of land and how they relate to its area.

Given:

• The area \( A \) of the rectangular land is 300 square feet.
• The height (or one dimension, which can be thought of as the width) is given as 15 feet.
• The other dimension involves some value, expressed as \( 6X4 \), which is not immediately clear. However, we can interpret it here as "if the length is represented by \( x + 10 \)", based on the properties of rectangles.

For the area of a rectangle, we can use the formula:

\[ A = \text{length} \times \text{height} \]

Substituting the known values:

\[ 300 = \text{length} \times 15 \]

If we rearrange this, we can find the missing length:

\[ \text{length} = \frac{300}{15} = 20 \]

We also need to equate this to the expression involving \( x \). Assuming that \( \text{length} \) is in fact \( x + 10 \):

We can set up the following equation based on the value we calculated:

\[ 15(x + 10) = 300 \]

This aligns with choice C: 15(x + 10) = 300.

Therefore, the correct answer is: C. 15(x + 10) = 300.