Mathematics ACT Aspire Test 2025 – 400 Free Practice Questions to Pass the Exam

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If the perimeter of a rectangle is 40 and the length is 15, what is the width?

10

5

To determine the width of the rectangle given the perimeter and the length, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2 * (Length + Width)

In this case, the perimeter is given as 40 and the length is 15. Substituting these values into the perimeter formula, we have:

40 = 2 * (15 + Width)

Next, simplify the equation:

40 = 30 + 2 * Width

Subtract 30 from both sides to isolate the term with Width:

40 - 30 = 2 * Width

10 = 2 * Width

Now, divide both sides by 2 to solve for Width:

Width = 10 / 2

Width = 5

Thus, the width of the rectangle is 5. This matches one of the choices provided, confirming that the width calculated is accurate. The correct answer is supported by the application of the perimeter formula, yielding a clear and logical result.

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