#55. Rectangular Room is 4 Feet Longer than it is Wide and Area is 60 square feet. Find Dimensions.

TL;DR

Calculate dimensions of a rectangular room; width is 6 feet, length is 10 feet, area is 60 sq ft.

Transcript

number 55 the length of our rectangular storage room is four feet longer than its width if the area of the room is sixty square feet find its dimensions okay so the length is four feet longer than its width okay so let's draw the rectangle and so it's longer than it is wider so I'll call the width W and the length is four feet longer than the width... Read More

Key Insights

• 🤵 Understanding the relationship between length and width in a rectangular room problem is crucial for accurate calculations.
• 🤩 Factoring quadratic equations is a key step in finding dimensions of geometric shapes when area is given.
• 🧑‍🏭 Careful consideration of factors is essential in solving quadratic equations to determine accurate dimensions.

Questions & Answers

Q: How can the dimensions of a rectangular storage room be calculated given its area?

The dimensions can be calculated by setting up the dimensions as length and width with the area given, then solving the resulting quadratic equation to find the values of each side.

Q: What is the relationship between the width and length in a rectangular room with given dimensions?

The length is determined to be 4 feet longer than the width, establishing a direct relationship between the two variables in the context of the storage room problem.

Q: How is the quadratic equation formed and solved to find the dimensions of the room?

By distributing the width term in the equation representing the area, a quadratic equation is derived and then solved using factoring to determine the dimensions of the rectangular room.

Q: Why is careful consideration needed when determining the factors for the quadratic equation solution?

Selecting the correct factors involves finding two numbers that multiply to the area of the room and sum to the difference in length and width, ensuring the accuracy of the calculated dimensions.

Summary & Key Takeaways

• Given a storage room with an area of 60 square feet, the width is determined to be 6 feet.

• The length of the room is calculated to be 10 feet, being 4 feet longer than the width.

• By setting up and solving a quadratic equation, the dimensions of the rectangular room are successfully found.