**Determine the fraction of the square in Figure 3.6 that is shaded. Explain your reasoning (attach all scratch work HERE).****Description of the Diagram:**The diagram features a square with one of its diagonals drawn. Additionally, a line connects the midpoint of the bottom edge to the opposite vertex on the top edge, creating a triangle within the square. This triangle is shaded, covering part of the area of the square. The task is to determine what fraction of the square's total area is covered by this shaded triangle.**Explanation:**To solve this, consider the following steps:1. **Identify Key Points and Lines:** - The square has vertices labeled at the top-left, top-right, bottom-left, and bottom-right. - The diagonal from the bottom-left to top-right divides the square into two equal right triangles. - The additional line from the midpoint of the bottom edge to the top-left vertex divides the left triangle.2. **Divide the Problem:** - The shaded area is the intersection of the two triangles created by the diagonal and the additional line.3. **Calculate Areas:** - The entire square has an area equal to the side length squared. - Each triangle formed by the diagonal has an area equal to half of the square's area. - The shaded triangle, being a right triangle with one leg half the length of the square's side, covers one quarter of the square's area.Therefore, the shaded triangle covers one quarter (1/4) of the square.

Answered: Image /qna-images/answer/f46caca1-64b7-4292-80f7-a1b7212e78a3.jpg

Answered: Determine the fraction of the square in…

Determine the fraction of the square in Figure 3.6 that is shaded. Explain your reasoning (attach all scratch work HERE).

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

Nick cuts a piece of string so that it goes all they way around the outside of the shape and then forms his piece of string into a square on top of graph paper. Using the graph paper Nick gets a good estimate for the area of his string square and then uses the square’s area in his estimate for the area of the original irregular shape. Discuss whether Nick’s method is a legitimate way to estimate the area of irregular shapes.
What happens to the inscribed polygon as the number of its sides increases?
A square is inside the circle with radius of 10. Find the following - the diagonal of the square - the side of the square - the area of the square - the circumference of the circle - the area of the circle
Please help
Hi you submit two photos of part a but no part b
What is the problem? Jade hides his brother's toy car by dividing it into 3 parts. He hides the tires at (-3,-2), steering wheel at (-3,3) and seats at (3,3). He asks his brother to find the car parts by providing clues. a) What is the distance from the steering wheel to the seats? b) What shape do these locations form? Find the area of the figure. 5 (-3,3) (3,3) 5 4 3 11 이 (3,-2
MAKE SURE TO USE EXCEL otherwise it wouldnt help me at all and then i have to give tou a down vote. so please use EXCEL.
Elementary school students were given a geometry assignment they were to measure the area of several rectangles to measure the diagonal of the rectangle as shown on the table.
Determine the missing leg length for a right triangle with hypotenuse 13.8 and a leg of 7.8
If the three vertices of a triangle have coordinates(0,0), (0,3), and (5,0)how many square units are in the area of the triangle? Enter your answer as a common decimal.
Determine the coordinates of the point P that divides the segment formed by A (1,6) and B (7, -2) in the ratio r = 0.7.
Help