Answer :
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.
