Math Problem Statement

This coordinate plane shows the shape of a hang glider. The perimeter of the glider is to be trimmed with a special material. What is the minimum length of material needed?

A. 54 feet

B. 58 feet

C. 64 feet

D. 78 feet

Solution

To determine the minimum length of material needed to trim the perimeter of the hang glider, we must calculate the perimeter of the shape formed on the coordinate plane.

Assuming the shape of the hang glider is a polygon (such as a triangle, quadrilateral, etc.), the steps are as follows:

  1. Identify the vertices of the polygon (the points where the edges meet) from the coordinate plane.
  2. Apply the distance formula to calculate the length of each side. The distance formula between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is: d=(x2x1)2+(y2y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
  3. Sum the distances to find the total perimeter.

Since you haven't provided the coordinates or the image of the hang glider's shape, I'm unable to calculate the exact perimeter. However, if you can share the coordinates or upload the image of the coordinate plane, I can help you find the precise length of the material.

Let me know if you'd like further details on any part of this process or if you can upload the image of the glider's shape.

Here are 5 related questions:

  1. How is the distance formula derived in coordinate geometry?
  2. Can you explain how to calculate the perimeter of irregular polygons?
  3. What are the applications of the distance formula in real-world problems?
  4. How does the Pythagorean Theorem relate to the distance formula?
  5. How can we calculate the area of polygons on a coordinate plane?

Tip: Always break complex shapes into simpler geometric figures to simplify the perimeter or area calculation.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Geometry
Perimeter

Formulas

Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)
Perimeter calculation for polygons: Sum of all side lengths

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 8-10