Respuesta :
Explanation:
Step-by-step explanation:
a) From the image attached, the area of the small section is 16ft² and the area of the large section is 50 ft². The area of a square = length × length = length².
[tex]\begin{gathered} A_{big}=L^2 \\ L^2=50 \\ L=\sqrt{50}ft \\ A_{small}=l^2 \\ l^2=16 \\ l=\sqrt{16} \\ l=4ft \end{gathered}[/tex]The length of the entire shed will be calculated using the formul below
[tex]length(entireshed)=length(large)+length(small)[/tex]By substituting the values, we will have
[tex]\begin{gathered} length(ent\imaginaryI reshed)=length(large)+length(small) \\ length(ent\mathrm{i}reshed)=L+l \\ length(ent\mathrm{i}reshed)=4+\sqrt{50}ft \end{gathered}[/tex]Hence,
The length of the entire shed is
[tex]\begin{equation*} 4+\sqrt{50}ft \end{equation*}[/tex]Part B:
All square root of integers other than perfect squares are irrational numbers , hence 4 + √50 is an irrational number. All numbers belongs to the set of real numbers. Therefore 4 + √50 is an irrational number and real number
