We appreciate your visit to The side of a trailer has an area of 500 square units The length is 5 times the height What are the dimensions of the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find the dimensions of the side of the trailer, we need to understand that the area is given as 500 square units, and the length is 5 times the height.
Let's denote:
- The height of the side of the trailer as [tex]\( h \)[/tex].
- The length of the side of the trailer as [tex]\( 5h \)[/tex], because the length is 5 times the height.
The formula for the area of a rectangle is:
[tex]\[ \text{Area} = \text{Length} \times \text{Height} \][/tex]
Given the area is 500, we can set up the equation:
[tex]\[ 5h \times h = 500 \][/tex]
This simplifies to:
[tex]\[ 5h^2 = 500 \][/tex]
To find [tex]\( h^2 \)[/tex], we divide both sides by 5:
[tex]\[ h^2 = \frac{500}{5} \][/tex]
[tex]\[ h^2 = 100 \][/tex]
Now, to find [tex]\( h \)[/tex], we take the square root of 100:
[tex]\[ h = \sqrt{100} \][/tex]
[tex]\[ h = 10 \][/tex]
So, the height is 10 units.
Now, we can find the length using the relationship [tex]\( \text{Length} = 5 \times h \)[/tex]:
[tex]\[ \text{Length} = 5 \times 10 \][/tex]
[tex]\[ \text{Length} = 50 \][/tex]
Thus, the dimensions of the side of the trailer are:
- Height: 10 units
- Length: 50 units
Let's denote:
- The height of the side of the trailer as [tex]\( h \)[/tex].
- The length of the side of the trailer as [tex]\( 5h \)[/tex], because the length is 5 times the height.
The formula for the area of a rectangle is:
[tex]\[ \text{Area} = \text{Length} \times \text{Height} \][/tex]
Given the area is 500, we can set up the equation:
[tex]\[ 5h \times h = 500 \][/tex]
This simplifies to:
[tex]\[ 5h^2 = 500 \][/tex]
To find [tex]\( h^2 \)[/tex], we divide both sides by 5:
[tex]\[ h^2 = \frac{500}{5} \][/tex]
[tex]\[ h^2 = 100 \][/tex]
Now, to find [tex]\( h \)[/tex], we take the square root of 100:
[tex]\[ h = \sqrt{100} \][/tex]
[tex]\[ h = 10 \][/tex]
So, the height is 10 units.
Now, we can find the length using the relationship [tex]\( \text{Length} = 5 \times h \)[/tex]:
[tex]\[ \text{Length} = 5 \times 10 \][/tex]
[tex]\[ \text{Length} = 50 \][/tex]
Thus, the dimensions of the side of the trailer are:
- Height: 10 units
- Length: 50 units
Thanks for taking the time to read The side of a trailer has an area of 500 square units The length is 5 times the height What are the dimensions of the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
