Textbook Problem

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 to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

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.

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

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

Explanation of Solution

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.