a.
To determine the area of the larger square.
a.
Answer to Problem 41PPE
Explanation of Solution
Given information :
Area of the square is
Hence the side of the larger square is
Area =
b.
To determine the area of smaller square.
b.
Answer to Problem 41PPE
Area =
Explanation of Solution
Given information :
Area of the square is
Hence the side of the larger square is
Area =
c.
To determine the area of each
c.
Answer to Problem 41PPE
Area =
Explanation of Solution
Given information :
Area of the right angle triangle is
Hence the base and height of the given triangle is
Area =
d.
To equate the area of the larger square to sum of the area of the smaller squares and the area of the four triangles.
d.
Explanation of Solution
Given information :
We form equation according to the given condition in the question,
We get,
Now we solve the equation.
We know that in the equal 4 triangle
We put values and we get,
Hence both sides are equal.
Hence we can determine that the area of larger square is equal to sum of the areas of 4 triangles and the smaller square.
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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