a.
To find the areas of four smaller rectangles.
a.
Answer to Problem 27WE
Explanation of Solution
Given:
Concept used:
The area of a rectangular surface = The length of the rectangular surface × The width of the rectangular surface.
Calculation:
For the first rectangle:
The length of the rectangular surface is
The width of the rectangular surface is x unit.
Hence the area of the surface is
Now, the second rectangle:
The length of the rectangular surface is
The width of the rectangular surface is x unit.
Hence the area of the surface is
Then, the third rectangle:
The length of the rectangular surface is
The width of the rectangular surface is 3 unit.
Hence the area of the surface is
For the last rectangle:
The length of the rectangular surface is
The width of the rectangular surface is 3 unit.
Hence the area of the surface is
Conclusion:
Therefore, the required areas of the four small rectangles are
b.
To find the area of the original rectangle.
b.
Answer to Problem 27WE
Explanation of Solution
Given:
Concept used:
The area of a rectangular surface = The length of the rectangular surface × The width of the rectangular surface.
Calculation:
The total length of the rectangular surface is
The width of the rectangular surface is
Hence the area of the total surface is,
Conclusion:
Therefore, the area of the original rectangle is
Chapter 4 Solutions
Algebra: Structure And Method, Book 1
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