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A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox. Drawings of both sandboxes are shown. 18 ft 20 Park Sandbox 8+ Todd's Sandbox What is the perimeter, in feet (ft), of Todd's sandbox?​

A Park Has A Triangular Sandbox Todd Wants To Create A Smaller Sandbox At His Backyard Having The Same Angles As The Park Sandbox Drawings Of Both Sandboxes Ar class=

Sagot :

Answer:

the perimeter is

104/5 feet or 20 4/5 ft

Step-by-step explanation:

The perimeter is a loop that surrounds, circumscribes, nor defines a two-dimensional shape and a one length.

Perimeter Calculation:

A park's sandbox measures [tex]20 \ \text ft[/tex] in diameter at its base.

Todd's sandbox has a [tex]4 \ \text ft[/tex] base.

Now [tex]\frac{4}{20}=\frac{1}{5}\\\\[/tex]

As a result, the scale factor for smaller sandboxes is [tex]\ \frac{1}{5}\\\\[/tex]

[tex]\to 14 \times \frac{1}{5} = 2.8\\\\\to 18 \times \frac{1}{5}= 3.6\\\\[/tex]

As a result, in Todd's sandbox, the missing lengths (in feet) are 2.8 and 3.6.

Todd's sandbox has a perimeter of [tex]4 + 2.8 + 3.6 = 10.4[/tex] feet.

Find out more about the perimeter here:

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