If the ratio of length to width of a rectangle is 4:3 and the width is 12, what is the length?

If the ratio of length to width of a rectangle is 4:3 and the width is 12, what is the length?

• A. Length = 10
• B. Length = 12
• C. Length = 14
• D. Length = 16

Answer: (D)

To determine the length of the rectangle given that the ratio of length to width is 4:3, we start by recognizing how ratios work. The ratio can be expressed as: \[ \frac{\text{Length}}{\text{Width}} = \frac{4}{3} \] Here, we know the width of the rectangle is 12. To find the length, we can set up a proportion based on the given ratio: \[ \frac{\text{Length}}{12} = \frac{4}{3} \] To solve for the length, we can cross-multiply: \[ \text{Length} \cdot 3 = 4 \cdot 12 \] Calculating the right side gives: \[ \text{Length} \cdot 3 = 48 \] Next, dividing both sides by 3 to isolate the length results in: \[ \text{Length} = \frac{48}{3} = 16 \] Thus, the length of the rectangle is 16. This confirms that the option labeled as Length = 16 is the correct choice given the information provided about the dimensions and their ratio.

To determine the length of the rectangle given that the ratio of length to width is 4:3, we start by recognizing how ratios work. The ratio can be expressed as:

[

\frac{\text{Length}}{\text{Width}} = \frac{4}{3}

]

Here, we know the width of the rectangle is 12. To find the length, we can set up a proportion based on the given ratio:

[

\frac{\text{Length}}{12} = \frac{4}{3}

]

To solve for the length, we can cross-multiply:

[

\text{Length} \cdot 3 = 4 \cdot 12

]

Calculating the right side gives:

[

\text{Length} \cdot 3 = 48

]

Next, dividing both sides by 3 to isolate the length results in:

[

\text{Length} = \frac{48}{3} = 16

]

Thus, the length of the rectangle is 16. This confirms that the option labeled as Length = 16 is the correct choice given the information provided about the dimensions and their ratio.