If a rectangle has an area of 36 cm² and a length of 9 cm, what is the width?

If a rectangle has an area of 36 cm² and a length of 9 cm, what is the width?

• A. 2 cm
• B. 3 cm
• C. 4 cm
• D. 5 cm

Answer: (C)

To find the width of the rectangle, we use the formula for the area of a rectangle, which is given by: \[ \text{Area} = \text{Length} \times \text{Width} \] Here, the area of the rectangle is provided as 36 cm², and the length is given as 9 cm. We can rearrange the formula to solve for the width: \[ \text{Width} = \frac{\text{Area}}{\text{Length}} \] Substituting the known values into the formula: \[ \text{Width} = \frac{36 \text{ cm}^2}{9 \text{ cm}} = 4 \text{ cm} \] This calculation shows that when you divide the area (36 cm²) by the length (9 cm), the result is 4 cm, which represents the width of the rectangle. Thus, the correct answer is 4 cm. This process reinforces the understanding of how the properties of a rectangle tie together through the area formula, highlighting the relationship between length, width, and area.

To find the width of the rectangle, we use the formula for the area of a rectangle, which is given by:

[

\text{Area} = \text{Length} \times \text{Width}

]

Here, the area of the rectangle is provided as 36 cm², and the length is given as 9 cm. We can rearrange the formula to solve for the width:

[

\text{Width} = \frac{\text{Area}}{\text{Length}}

]

Substituting the known values into the formula:

[

\text{Width} = \frac{36 \text{ cm}^2}{9 \text{ cm}} = 4 \text{ cm}

]

This calculation shows that when you divide the area (36 cm²) by the length (9 cm), the result is 4 cm, which represents the width of the rectangle. Thus, the correct answer is 4 cm.

This process reinforces the understanding of how the properties of a rectangle tie together through the area formula, highlighting the relationship between length, width, and area.