Question
upstudy study bank question image url

2 The perimeter of a vegetable garden is 48 feet. The widt of the garden is 10 feet. What is the length of the garde

Ask by Nichols Horton. in the United States
Feb 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The length of the vegetable garden is 14 feet.

Solution

To solve this problem, we start with the perimeter formula for a rectangle: Perimeter = 2 × (length + width) We are given: • Perimeter = 48 feet • Width = 10 feet Substitute the given values into the formula: 48 = 2 × (length + 10) Next, divide both sides by 2 to simplify: 48 ÷ 2 = length + 10 24 = length + 10 Now, subtract 10 from both sides: length = 24 - 10 length = 14 feet Therefore, the length of the vegetable garden is 14 feet.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

To find the length of the vegetable garden, we can use the formula for the perimeter of a rectangle, which is \( P = 2 \times (\text{length} + \text{width}) \). Given that the perimeter is 48 feet and the width is 10 feet, we can rearrange the formula to solve for the length: \[ 48 = 2 \times (\text{length} + 10) \] Dividing both sides by 2 gives us 24: \[ 24 = \text{length} + 10 \] Subtracting 10 from both sides results in: \[ \text{length} = 14 \] So, the length of the garden is 14 feet. --- This isn’t just a math problem; it’s a lesson in planning! Gardeners need to use dimensions efficiently to maximize their planting space while maintaining a pleasing aesthetic. Knowing the perimeter helps you visualize the entire area and how best to utilize it for your favorite veggies. If you ever find yourself stuck in similar problems, always remember to write down what you know and use clear equations. A common mistake is misapplying the perimeter formula or forgetting to divide correctly, so double-check each step to keep your garden growing smoothly!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy