Question
Find the area and perimeter for a rectangle if the length is \( l=70 \) feet and the width is \( w=10 \) feet. The area is The perimeter is
Ask by Bartlett Burns. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area of the rectangle is 700 square feet and the perimeter is 160 feet.
Solution
To find the area and perimeter of a rectangle, we can use the following formulas:
- Area of a rectangle: \( A = l \times w \)
- Perimeter of a rectangle: \( P = 2(l + w) \)
Given:
- Length of the rectangle, \( l = 70 \) feet
- Width of the rectangle, \( w = 10 \) feet
Let's calculate the area and perimeter using the formulas.
Calculate the value by following steps:
- step0: Calculate:
\(70\times 10\)
- step1: Multiply the numbers:
\(700\)
Calculate or simplify the expression \( 2(70+10) \).
Calculate the value by following steps:
- step0: Calculate:
\(2\left(70+10\right)\)
- step1: Add the numbers:
\(2\times 80\)
- step2: Multiply the numbers:
\(160\)
The area of the rectangle is 700 square feet and the perimeter is 160 feet.
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Simplify this solution The Deep Dive
The area of a rectangle can be calculated using the formula \( \text{Area} = l \times w \). For your rectangle, that would be \( 70 \, \text{feet} \times 10 \, \text{feet} = 700 \, \text{square feet} \). So, the area is 700 square feet! For the perimeter, the formula is \( \text{Perimeter} = 2(l + w) \). Plugging in your dimensions gives us \( 2(70 \, \text{feet} + 10 \, \text{feet}) = 2(80) = 160 \, \text{feet} \). Therefore, the perimeter is 160 feet!
