Question

select the correct answer from each dropdown menu. getting ready for a big car race, kenna decided to make five racing flags to put at each turn of the racetrack. kenna sketched the flag design in a coordinate plane to help determine how much material she will need for the flag. assuming each grid mark represents a foot, how much material will kenna need to make each flag and all five flags? kenna will need square feet of material for one flag. thus, kenna will square feet of material to make all five flags.

Explanation:

Step1: Calculate the area of one flag

The flag is a triangle. The formula for the area of a triangle is $A=\frac{1}{2}\times base\times height$. From the coordinate - plane, the base of the triangle is $3$ units and the height is $4$ units.
$A = \frac{1}{2}\times3\times4$
$A=6$ square feet.

Step2: Calculate the area of five flags

If one flag has an area of $A = 6$ square feet, then for five flags, we use the formula $A_{total}=5\times A$.
$A_{total}=5\times6$
$A_{total}=30$ square feet.

Answer:

Kenna will need $6$ square feet of material for one flag. Thus, Kenna will need $30$ square feet of material to make all five flags.