How do you prove the formula for the area of a parallelogram?

Answer 1

The area of a polygon is the number of square units inside the polygon. Area is 2-dimensional like a carpet or an area rug. A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: where is the base, is the height, and · means multiply. The base and height of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base. Thus, a dotted line is drawn to represent the height.

Example 1: Find the area of a parallelogram with a base of 12 centimeters and a height of 5 centimeters. Solution: = (12 cm) · (5 cm) = 60 cm2 ---- Example 2: Find the area of a parallelogram with a base of 7 inches and a height of 10 inches. Solution: = (7 in) · (10 in) = 70 in2 ---- Example 3: The area of a parallelogram is 24 square centimeters and the base is 4 centimeters. Find the height. Solution: 24 cm2 = (4 cm) · 24 cm2 ÷ (4 cm) = = 6 cm ---- Summary: Given the base and height of a parallelogram, we can find the area. Given the area of a parallelogram and either the base or the height, we can find the missing dimension. The formula for area of a parallelogram is: where is the base, is the height, and · means multiply.

"1+1 =?"

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