Find the area of the shaded figure.
Answer to Problem 35E
Explanation of Solution
Given information:
Given figure,
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 sum of the areas of the triangles
So,
Since we have the two sides
So,
We have
So,
Now, to calculate the area of the triangle
We have,
So,
On using a calculator, we have
So,
Taking square root both sides, we get,
Now, we have all the sides of the triangle
Use Heron’s formula to calculate its area.
On substituting
We get,
Also,
Now, substituting
Hence, the area of the given figure is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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