Imogen sees a design for a garden in a magazine. she changes the scale because she wants a smaller garden. the figure below shows both scales and a scale drawing of the yard magazine scale: 1 inch = 3.5 feet. imogen's scale: 2 inches = 6 feet. triangle a b c. side a is 8 inches, side b is 5 inches, and side c is 10 inches. which statements about the gardens are true? select three options. length a of the magazine’s garden is 28 ft. length a of imogen’s garden is 28 ft. length b of the magazine’s garden is 17.5 ft. length b of imogen’s garden is 18 ft. length c of the magazine’s garden is 35 ft. length c of imogen’s garden is 20 ft.

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,

  -------------(as per scale)

and Length A as per Imogen's scale(1 inch =3 feet) is,

AB = side a

 -------------(as per scale)

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

Length B as per Imogen's scale (1 inch = 3 feet) is,

BC = side b

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

Length B as per Imogen's scale (1 inch = 3 feet) is,

AC = side c

Therefore Length C of the Magazine garden is 35 feet is true.

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step-by-step explanation: