Question

10. Make Sense and Persevere The flag of the

Answer 1

Answer:

• $s=\frac{P}{3}$
• Dimensions of the flag:

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

• Area of the flag: $23.275\ ft^2$

Step-by-step 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:

$s=\frac{P}{3}$

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

$s=\frac{126\ in}{3}\\\\s=42\ in$

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

$s=(42\ in)(\frac{1\ ft}{12\ in})=3.5\ ft$

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:

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