Question

Parallelogram efgh has sides of length 20 inches and 14 inches as shown. Its acute angle measures 62 degrees. Find the area of efgh to the nearest square inch

Answer 1

Answer:

The area of the parallelogram is 247 inches^2 to the nearest square inch

Step-by-step explanation:

This question asks us to calculate the area of a parallelogram given the sides and an acute angle.

Please check attachment for diagrammatic representation of the said parallelogram.

Mathematically, the area of the parallelogram can be calculated using the formula;

A = ab sin θ

where a and b refers to the length of the two sides and θ being the acute angle

Substituting these values, we have

A = 20 * 14 * sin 62

A = 280 sin 62 = 247.23 which is 247 inches^2 to the nearest square inch