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babunello [35]
3 years ago
14

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

fgh to the nearest square inch
Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

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

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