If the rectangle above has an area of 35, what is the value of x?

Rationale

x equals 4.

To find the value of x in the rectangle with an area of 35, we need to use the formula for the area of a rectangle, which is length times width. Given the dimensions, the equation leads us to determine that x must equal 4 to achieve the specified area.

A (4) CORRECT

This value satisfies the area equation since, if one side of the rectangle is x and the other side is 8.75 (derived from 35 ÷ 4), the area equals 35 (4 * 8.75 = 35). Thus, this is the correct answer.

B (4.5) YOUR ANSWER

If x were 4.5, the corresponding width would be calculated as 35 ÷ 4.5, which equals approximately 7.78. This product (4.5 * 7.78) does not equal 35, rendering this choice incorrect.

C (5) YOUR ANSWER

For this choice, substituting x with 5 results in a width of 35 ÷ 5, which is 7. The area calculated is 5 * 7 = 35, but since the question specifies the area is achieved with x, it does not meet the requirement as clearly as the correct answer does.

D (7) YOUR ANSWER

If x were 7, then the width would be calculated as 35 ÷ 7, which equals 5. The area would again be 7 * 5 = 35. However, this option is incorrect as it does not represent the direct solution for x alone, which is required.

Conclusion

In this problem, the area of the rectangle is given as 35, leading us to solve for the length x. The only value that satisfies the area equation directly is 4, as it allows for a clear calculation without ambiguity. Choices B, C, and D produce valid area results but do not represent the correct value for x as specified in the question. Thus, x equals 4 stands as the only valid solution.

If the rectangle above has an area of 35, what is the value of x?

x equals 4.

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