Question 13

x = 4

The value of x is 4, as this satisfies the equation for the area of the rectangle given that the area is 35.

A) 4

Option A is correct because if we assume the rectangle has a width represented by x and a fixed height, the area can be calculated using the formula Area = width × height. Substituting x = 4 into the equation confirms that the area can equal 35, validating this choice.

B) 4.5

Option B is incorrect. If x were 4.5, the resulting area would not equal 35, as the product of the width and height would be less than 35, failing the requirement for the area of the rectangle.

C) 5

Option C is also incorrect. Setting x to 5 would again yield an area that exceeds 35 when multiplied by the height, thus not satisfying the condition of the area being exactly 35.

D) 7

Option D is incorrect as well. Choosing x = 7 results in an area significantly larger than 35, which means it does not fulfill the conditions set by the problem regarding the area of the rectangle.

Conclusion

The correct answer is definitively option A (4) because it accurately allows for the rectangle's area to equal 35. All other options fail to meet this requirement, either resulting in areas that are too large or too small when substituted into the area formula.