Answer:
Length A of the magazine garden is 28 feet is true.
Length B of the Magazine garden is 17.5 feet is true.
Length C of the Magazine garden is 35 feet is true.
Step-by-step explanation:
Please refer the attached figure.
Given:-
Magazine Scale is 1 inch = 3.5 feet.
Imogen's scale is 2 inches = 6 feet,
Therefore Imogen's scale is 1 inch = 3 feet.
In Triangle ABC,
side a = 8 inches, side b= 5 inches, side c= 10 inches.
To find:- The correct 3 options(actual size of sides of triangle ABC).
Solution:-
In triangle ABC,
Let,
AB=side a =8 inches
BC=side b =5 inches
AC=side c= 10 inches
Now, as per the given scale's of Magazine and Imogen's we can find the actual sizes.
Length A as per Magazine scale (1 inch = 3.5 feet) is,
[tex]\therefore Length\ A=8\times 3.5[/tex] -------------(as per scale)
[tex]\therefore Length A=28\ feet[/tex]
and Length A as per Imogen's scale(1 inch =3 feet) is,
AB = side a
[tex]\therefore Length\ A=8\times 3[/tex] -------------(as per scale)
[tex]\therefore Length A=24\ feet[/tex]
Therefore Length A of the magazine garden is 28 feet is true.
Now, Length B as per Magazine scale (1 inch = 3.5 feet) is,
BC = side b
[tex]\therefore Length\ B=5\times 3.5[/tex]
[tex]\therefore Length B=17.5\ feet[/tex]
Length B as per Imogen's scale (1 inch = 3 feet) is,
BC = side b
[tex]\therefore Length\ B=5\times 3[/tex]
[tex]\therefore Length B=15\ feet[/tex]
Therefore Length B of the Magazine garden is 17.5 feet is true.
Now, Length C as per Magazine scale (1 inch = 3.5 feet) is,
AC = side c
[tex]\therefore Length\ C=10\times 3.5[/tex]
[tex]\therefore Length C=35\ feet[/tex]
Length B as per Imogen's scale (1 inch = 3 feet) is,
AC = side c
[tex]\therefore Length\ C=10\times 3[/tex]
[tex]\therefore Length B=30\ feet[/tex]
Therefore Length C of the Magazine garden is 35 feet is true.
