To find: the area of the given shaded region
Answer to Problem 40WE
The area of the given shaded region is :
Explanation of Solution
Given information: The shaded region is given below
Concept Involved:
Draw line in the composite figure so that it looks like combination of region with recognizable shapes. Identify the area of each region and sum them together to find the area of composite shaded region.
Formula Used:
Area of rectangle =
Area of Square =
Calculation:
Draw line in the composite figure so that it looks like combination of region with recognizable shapes.
Identify the dimension of the region A and find the area
Side Length = x
Area of region A=
Identify the dimension of the region B and find the area
Length of rectangle =
Width of the rectangle =
Area of region B=
Area of the shaded region is found by adding the area of region A and area of region B
Distribute the x in the expression
Group like terms
Combine like terms
Conclusion:
The area of the shaded region given is
Chapter 4 Solutions
Algebra: Structure And Method, Book 1
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