Question: An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the exact area of the

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the exact area of the shaded regions in the figure. Then find the approximate area of the entire shaded region, rounded to the nearest whole unit.

Step by Step Solution

★★★★★

3.42 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the area of the shaded region we first need to find expressions for the areas of the individ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Holt McDougal Larson Geometry Questions!

An equilateral triangle is shown below. (a) Find an expression for its height h in terms of a. (b) Find an expression for its area A in terms of a. 1

Find the exact area of the region under the graph of y = ex from 0 to 2 by using a computer algebra system to evaluate the sum and then the limit in Example 3(a). Compare your answer with the...

An equilateral triangle is inscribed in a circle of radius r. See the figure. Express the circumference C of the circle as a function of the length x of a side of the triangle. First show that r 2 =...

Review NAME DATE PER. Unit 10 REVIEW PART 1. IMPORTANT GEOMETRIC TERMS Match each term with its appropriate description, writing its corresponding letter in the blank provided. Not all descriptions...

SHOW WORK ON ALL FREE RESPONSE. QUESTION 1 is equivalent to , where s 0 and t 0. True Fals e 2 points 1. QUESTION 2 A recipe for a strawberry smoothie requires 1 cup of sugar for every 2 cups of...

Please solve all these questions I really need them. Also, I would really appreciate it if you could make it clear and readable. Thank you! Question 1: (Calculator allowed) (Project 1a) Water is...

1. Which characteristic does a point have? has no dimension is a fixed location in space is named with one capital letter all of the above 2 points QUESTION 2 1. Which of the following is not the...

806 Chapter Fifteen OPTIMIZATION: LOCAL AND GLOBAL EXTREMA If f is not continuous or the region R is not closed and bounded, there is no guarantee that f achieves a global maximum or global minimum...

Data gistrun sending inside a pack fills in as conventional allowing subordinate rules to execute on progressive clock cycles. Correspondence between gatherings conventionally causes a surprising...

Draw a total setup outline and decide the expense for the most economical design, i.e., the one where the complete expense of the correspondences circuits and equpment is the least. (b) The...

Study the scenario and complete the questions that follow: Summerhouse (Pty) Ltd You are the auditor in charge of the year-end audit of Franschhoek (Pty) Ltd, a fruit canning factory. Although...

One company requires the services of workers during the next five weeks and decided to hire such workers on contract the size of the workforce needed over the next 5 weeks to be 8, 6, 4, 7, and 2...