Area Of Plane Figures

Explanation
The measurement around the outside of a figure is called the perimeter. It is the total length of all the sides of the figure. The perimeter helps in determining the distance around the figure and is commonly used in geometry to calculate the boundaries of shapes such as squares, rectangles, triangles, and circles.

Explanation
When measuring the inside of a two-dimensional figure such as a square, rectangle, or triangle, you are finding the area. Area is a measurement of the amount of space inside a shape, typically expressed in square units. It is calculated by multiplying the length of the base by the height of the shape (for rectangles and triangles) or by multiplying the lengths of two adjacent sides (for squares). The area helps determine the amount of surface or space occupied by the figure.

Explanation
The proper way to label the area of a rectangle with a length of 5 inches and a width of 4 inches is 20 square inches. The area of a rectangle is calculated by multiplying the length and width, so in this case, 5 inches multiplied by 4 inches equals 20 square inches.

Explanation
When measuring the height of a figure, it is important for the line to be straight and not slanted. This ensures an accurate measurement. Additionally, the line must be perpendicular to the base, forming a 90-degree angle. This is because the height is the vertical distance from the base to the top of the figure. Therefore, the statement "True" is correct.

Explanation
The correct answer is "may be the bottom as well as the top." This means that the base of a figure can be either the bottom or the top, or both. The base is typically the surface on which the figure rests or is built upon, so depending on the shape and structure of the figure, the base can be at either the bottom or the top, or even both in some cases.

Explanation
Don't forget the all area answers are written in square units or with an exponent of 2.

Explanation
The area of a parallelogram is calculated by multiplying the base by the height. In this case, the base is 4m and the height is 7m. Therefore, the area of the parallelogram is 4m * 7m = 28 square meters.

Explanation
The area of a triangle is calculated by multiplying the base and height and dividing by 2. In this case, the base is 4 cm and the height is 9 cm. So, the area would be (4 cm * 9 cm) / 2 = 36 cm² / 2 = 18 cm².

Explanation
The area of a trapezoid can be calculated using the formula: (base1 + base2) * height / 2. In this case, the base1 is 2 inches, the base2 is 4 inches, and the height is 3 inches. Plugging these values into the formula, we get (2 + 4) * 3 / 2 = 6 * 3 / 2 = 18 / 2 = 9 sq. inches. Therefore, the correct answer is 9 sq. inches.

Explanation
The area of a parallelogram is calculated by multiplying the base by the height. In this case, the base is 9 m and the height is 21 m. Therefore, the area of the parallelogram is 9 m multiplied by 21 m, which equals 189 sq.m.

Explanation
The area of a trapezoid can be calculated by using the formula: A = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the bases and h is the height. In this case, the bases are 6 inches and 10 inches, and the height is 5 inches. Plugging these values into the formula, we get A = (1/2) * (6 + 10) * 5 = 40 sq inches.

Explanation
The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In this case, the base is 20 cm and the height is 25 cm. Multiplying these values gives us 500 cm². Dividing this by 2 gives us the final answer of 250 sq.cm.