4. To the nearest hundredth, what is the area of a parallelogram whose sides are 20.8 cm and 10.9 cm long, if the measure of one of its angles is 53°?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Question 4:**

To the nearest hundredth, what is the area of a parallelogram whose sides are 20.8 cm and 10.9 cm long, if the measure of one of its angles is 53°?

**Explanation:**

To find the area \( A \) of a parallelogram when you know the lengths of two adjacent sides \( a \) and \( b \), and the angle \( \theta \) between them, you can use the formula:

\[ A = a \times b \times \sin(\theta) \]

In this problem, the sides are \( a = 20.8 \, \text{cm} \) and \( b = 10.9 \, \text{cm} \), and \( \theta = 53^\circ \).

Calculate the area using the sine function for the given angle.
Transcribed Image Text:**Question 4:** To the nearest hundredth, what is the area of a parallelogram whose sides are 20.8 cm and 10.9 cm long, if the measure of one of its angles is 53°? **Explanation:** To find the area \( A \) of a parallelogram when you know the lengths of two adjacent sides \( a \) and \( b \), and the angle \( \theta \) between them, you can use the formula: \[ A = a \times b \times \sin(\theta) \] In this problem, the sides are \( a = 20.8 \, \text{cm} \) and \( b = 10.9 \, \text{cm} \), and \( \theta = 53^\circ \). Calculate the area using the sine function for the given angle.
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