Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer:
70 square feet
Step-by-step explanation:
Area
Area calculates how much space a 2-D figure takes up. Usually the dimensions of the 2-D shape have the same metric, so the area's metric will always be the squared version of the dimension's metric.
This problem is a great example of this,
a rectangular wall with dimensions in feet and the problem asks for square feet that's covered when half of the wall is painted blue.
This indicates that they're asking to calculate half of the area of the wall!
Solving the Problem
To find the area of the wall we multiply the dimensions given as they represent the length and width seen in the area formula for a rectangle [tex]A=lw[/tex].
Before multiplying them, we can convert the values into improper fractions to make the calculation easier.
[tex]8\dfrac{2}{5} =8\dfrac{5}{5} +\dfrac{2}{5} =\dfrac{40}{5} +\dfrac{2}{5} \\\\=\dfrac{42}{5}[/tex]
[tex]16\dfrac{2}{3}=16\dfrac{3}{3} +\dfrac{2}{3}= \dfrac{48}{3}+\dfrac{2}{3}\\\\=\dfrac{50}{3}[/tex]
So,
[tex]A=\left(\dfrac{42}{5}\right)\left(\dfrac{50}{3}\right)=140[/tex]
and exactly
[tex]\dfrac{1}{2}A=(0.5)(140)=70[/tex].
square feet is painted blue.
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
