Chapter 8.CT, Problem 1CT

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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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 ___________.

To determine

a.

**To complete:**

The given sentence with the unit of the area of a rectangle.

Answer

**Solution:**

Given that the length and the width of a rectangle are measured in inches, its area is measured in __in ^{2}__.

Explanation

**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 in^{2}.

**Conclusion:**

Given that the length and the width of a rectangle are measured in inches, its area is measured in __in ^{2}__.

To determine

b.

**To complete:**

The given sentence.

Answer

**Solution:**

If two closed plane figures are congruent, then their areas are __equal__.

Explanation

**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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