10. Make Sense and Persevere The flag of the Bahamas includes an equilateral triangle. The perimeter of the triangle is P= 3s, where s is the side length. Solve for s. Use your …

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asked May 24, 2020 225k views

1 Answer

Demnogonis · Answer 1 · 2020-05-28T22:45:32+0000

Answer:

$lenght=6.65\ ft\\\\width=3.5\ ft$

Explanation:

The missing figure of the exercise is attached.

We know that the perimeter of the triangle is given by:

P= 3s

Where "s" is the side lenght of the triangle.

Solving for "s", we get:

s=(P)/(3)

Therefore, if the perimeter of the triangle is 126 inches, its side length is:

$s=(126\ in)/(3)\\\\s=42\ in$

Since
$1\ ft=12\ in$ , we know that "s" in feet is:

$s=(42\ in)((1\ ft)/(12\ in))=3.5\ ft$

The area of a rectangle can be calculated with this formula:

A=lw

Where "l" is the lenght and "w" is the width

We can observe in the figure that the lenght and the width of the flag are:

$l=1.9s\\w=s$

Then, the dimensions of the flag are:

$l=1.9(3.5\ ft)=6.65\ ft\\w=3.5\ ft$

And the area is:

$A=(6.65\ ft)(3.5\ ft)=23.275\ ft^2$