Question

Megan is embroidering a pillow with a star-shaped design. The endpoints of her design can be described by the points A(0, 0), B(7,4), C(8.5, 9.5), D(12,5), E(25,5), F(13,0), G[12.5, -10.5) an H18, -1). If each unit represents one inch, what is the total length of thread Megan will need in order to create the design?

Answer 1

To calculate the total length of thread that Megan needs for her star-shaped pillow design, the distances between each pair of consecutive points forming the star are to be calculated using the distance formula and then summed up.

Step-by-step explanation:

The question is asking for the total length of embroidery thread needed for Megan's star-shaped pillow design, which can be found by calculating the distance between the given points that form the endpoints of the design.

The distance between any two points (x1, y1) and (x2, y2) can be calculated using the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²), where √ represents the square root.

To find the total length of thread Megan needs, each of these distances must be calculated between consecutive points that form the star (A to B, B to C, and so on), and then all these distances are added together to get the total length.