Question

Please answer the questions with the correct equations for 2 through 5. The question states "Identify each polygon and calculate the perimeter of each" on the image it just got cut out.Here are some things you need to knowP = Perimeter L = lengthW = WidthS = sideHere are some formulas you need to knowSquare: P = 4s (or the perimeter is equal to to 4 times a side, since all sides are equal in a square.Rectangle: P = 2L + 2 W(or the perimeter is equal to 2 times the length and 2 times the width)Triangle: P = S + S + S(or the perimeter is equal to a side plus a side plus a side)

Answer 1

To identify and calculate the perimeter:

a)

Since, it has 3 sides.

Therefore, it is a triangle.

Perimeter is,

`\begin{gathered} P=a+b+c \\ =12+15+8 \\ =35 \end{gathered}`

Hence, perimeter of the triange is 35 ft.

b)

It is a trapezium.

Perimeter of trapezium is,

`\begin{gathered} P=a+b+c+d \\ =6+3+6+5 \\ =20 \end{gathered}`

Hence, perimeter of the trapezium is 20 ft.

c)

It is a rhombus.

Perimeter of rhombus is,

`\begin{gathered} P=4s \\ =4(14) \\ =56 \end{gathered}`

Hence, perimeter of the rhombus is 56 ft.

d)

It is a regular hexagon.

Perimeter of regular hexagon is,

`\begin{gathered} P=6s \\ =6(8) \\ =48 \end{gathered}`

Hence, perimeter of the regular hexagon is 48 ft.