why ab=7 and cd=5 Related: Recalling Area and Perimeter?
Understanding the Problem:
We are given that ab = 7 and cd = 5. We need to understand the relationship between these values in terms of area and perimeter.
Explaining Area:
The area of a shape is the measure of the region enclosed by its boundary. In this case, we are not given any specific shape, so we cannot calculate the area directly. However, we can make some observations.
Observation 1:
Since ab = 7 and cd = 5, we can assume that these values represent the lengths of the sides of a rectangle. In a rectangle, opposite sides are equal in length.
Observation 2:
The area of a rectangle is calculated by multiplying its length and width. In this case, ab and cd could represent the length and width of the rectangle.
Applying Observations:
Let's assume that ab is the length and cd is the width of the rectangle. Therefore, we can calculate the area using the formula: Area = Length * Width.
Calculating the Area:
Area = ab * cd
Area = 7 * 5
Area = 35
Explaining Perimeter:
The perimeter of a shape is the measure of the total length of its boundary. In a rectangle, the perimeter is calculated by adding the lengths of all four sides.
Observation 3:
Since ab = 7 and cd = 5, we can assume that these values represent the lengths of the sides of a rectangle. In a rectangle, opposite sides are equal in length.
Applying Observation:
Let's assume that ab is the length and cd is the width of the rectangle. Therefore, we can calculate the perimeter using the formula: Perimeter = 2 * (Length + Width).
Calculating the Perimeter:
Perimeter = 2 * (ab + cd)
Perimeter = 2 * (7 + 5)
Perimeter = 2 * 12
Perimeter = 24
Conclusion:
Based on the given values ab = 7 and cd = 5, we can calculate the area and perimeter of a rectangle. The area would be 35 square units, and the perimeter would be 24 units.
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