# Parallelogram 65334

In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area.

### Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**algebra**- quadratic equation
- equation
**planimetrics**- triangle
- diagonal
- The Law of Cosines
- parallelogram
**goniometry and trigonometry**- sine
- cosine

#### Units of physical quantities:

#### Grade of the word problem:

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