The door of a fridge is \( 4 / 9 \) as wide as it-is tall. 2. What is the ratio of the door's width to its height b. If the door is 54 cm wide, how tall is it?

Let's address each part of your question step by step. ### 2a. Ratio of the Door's Width to Its Height The problem states that the **width** of the fridge door is \( \frac{4}{9} \) as wide as its **height**. This can be expressed as: \[ \text{Width} = \frac{4}{9} \times \text{Height} \] To express this relationship as a ratio of width to height: \[ \text{Width} : \text{Height} = 4 : 9 \] **Answer:** The ratio of the door's width to its height is **4 : 9**. --- ### 2b. Calculating the Height When the Width is 54 cm Given: \[ \text{Width} = 54\,\text{cm} \] And from part (a): \[ \text{Width} = \frac{4}{9} \times \text{Height} \] We can solve for **Height** as follows: \[ \text{Height} = \frac{\text{Width} \times 9}{4} \] \[ \text{Height} = \frac{54\,\text{cm} \times 9}{4} \] \[ \text{Height} = \frac{486\,\text{cm}}{4} \] \[ \text{Height} = 121.5\,\text{cm} \] **Answer:** If the door is **54 cm** wide, it is **121.5 cm** tall.