Find the area of the shaded figure.
Answer to Problem 36E
Explanation of Solution
Given information:
Given,
Calculation:
We have to find the area of the shaded figure given below,
First we redraw the figure by marking points
From the above figure, we see that the area of the given figure is difference of the areas of the triangles
So,
Since we have the two sides
So,
On using a calculator, we have
So,
Now, to calculate the area of the triangle
We have
So,
we have
So,
On taking square root both sides, we get,
Now, we have all the sides of the triangle
Use Heron’s formula to find its area.
where
On substituting
We get,
Also,
Now, substituting
Hence, the area of the given figure is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning