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Elementary Geometry for College St...
Elementary Geometry for College St...
Complete each statement.
a) Given that the length and the width of a rectangle are measured in inches, its area is measured in _____________.
b) If two closed plane figures are congruent, then their areas are ___________.
a.
To complete:
The given sentence with the unit of the area of a rectangle.
Solution:
Given that the length and the width of a rectangle are measured in inches, its area is measured in in2.
Note:
When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.
Given:
Given that the length and the width of a rectangle are measured in inches.
As per the Note, the unit of the area of the rectangle is measured in square inches or in2.
Conclusion:
Given that the length and the width of a rectangle are measured in inches, its area is measured in in2.
b.
To complete:
The given sentence.
Solution:
If two closed plane figures are congruent, then their areas are equal.
Postulate:
If two closed plane figures are congruent, then their areas are equal.
Given:
Two closed plane figures are congruent.
As per the postulate, if two closed plane figures are congruent then their areas are equal.
Conclusion:
If two closed plane figures are congruent, then their areas are equal.
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