cameron makes a quilt design using four congruent triangles as shown below. what is the perimeter of the…

cameron makes a quilt design using four congruent triangles as shown below. what is the perimeter of the entire design? 46 cm 64 cm 108 cm 147 cm 9 cm 21 cm 14 cm

cameron makes a quilt design using four congruent triangles as shown below. what is the perimeter of the entire design? 46 cm 64 cm 108 cm 147 cm 9 cm 21 cm 14 cm

Answer

Explanation:

Step1: Identify congruent - side lengths

Since the four triangles are congruent, the side - lengths of the outer - most polygon can be determined. The outer - most side - lengths are 9 cm, 14 cm, 21 cm, 9 cm, 14 cm, 21 cm.

Step2: Calculate the perimeter

The perimeter (P) of a polygon is the sum of its side - lengths. So (P=9 + 14+21 + 9+14 + 21). [ \begin{align*} P&=(9 + 14+21)\times2\ &=(23 + 21)\times2\ &=44\times2\ & = 64\text{ cm} \end{align*} ]

Answer:

64 cm