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------------------------------------------------ Find the breadth of the rectangle whose length is 92 cm, and the perimeter is 340 cm. Also, find the area of the rectangle.

A. Breadth: 78 cm, Area: 7,176 cm²
B. Breadth: 84 cm, Area: 7,712 cm²
C. Breadth: 76 cm, Area: 6,968 cm²
D. Breadth: 72 cm, Area: 6,624 cm²

The question asks to find the breadth and area of a rectangle with a given length and perimeter. Using the formulas for perimeter and area of a rectangle, we can calculate that the breadth is 78 cm and the area is 7176 cm². Therefore, the correct answer to the question is option A.

Explanation:

The subject of this question is Mathematics, and it involves finding the breadth and area of a rectangle given its length and perimeter. To solve any rectangle's breadth, you need to understand that the formula for the perimeter of a rectangle is given by 2*(Length + Breadth) or 2L + 2B.

Given that the perimeter is 340 cm and the length is 92 cm, you can form the equation: 2*(92 cm + B) = 340 cm. By simplifying this equation, we can find the breadth B = 78 cm.

Now, to find the area of a rectangle, the formula is Length*Breadth or L*B. Using the breadth we just calculated and the provided length, the area would be 92 cm * 78 cm = 7176 cm².

Therefore, the breadth of the rectangle is 78 cm, and the area of the rectangle is 7176 cm². So, the correct answer is option A.

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