Rectangle area is 50 and length is 8, what's the height?
Understand the Problem
The question is asking for the height of a rectangle given the area and the length. We can solve this by using the formula for the area of a rectangle, which is Area = Length × Height. Rearranging the formula, we can find the height by dividing the area by the length.
Answer
Height is calculated using the formula $ \text{Height} = \frac{\text{Area}}{\text{Length}} $.
Answer for screen readers
The height of the rectangle is given by the formula: $$ \text{Height} = \frac{\text{Area}}{\text{Length}} $$
Steps to Solve
- Identify the formula for the area of a rectangle
The area of a rectangle can be calculated using the formula: $$ \text{Area} = \text{Length} \times \text{Height} $$
- Rearrange the formula to find the height
To find the height, rearrange the formula by dividing both sides by the length: $$ \text{Height} = \frac{\text{Area}}{\text{Length}} $$
- Plug in the values
Now, substitute the known area and length values into the rearranged formula. For example, if the area is $A$ and the length is $L$: $$ \text{Height} = \frac{A}{L} $$
- Calculate the height
Perform the division to find the height. If the area is, for example, 50 square units and the length is 10 units, you would calculate: $$ \text{Height} = \frac{50}{10} = 5 \text{ units} $$
The height of the rectangle is given by the formula: $$ \text{Height} = \frac{\text{Area}}{\text{Length}} $$
More Information
This approach uses the basic properties of rectangles and the formula for area. Understanding how to manipulate algebraic expressions is crucial in solving for unknown dimensions in geometry.
Tips
- Forgetting units: Always include units when stating your final answer.
- Mixing up area and perimeter: Make sure to use the area formula correctly and not confuse it with perimeter which uses different dimensions.
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