In the figure below, A, B, and C represent the areas of the square with side lengths of a, b, and c, respectively. Is B = 441 square units and C = 841 units in the figure below, match the correct values to the missing area and side lengths.
Based on the figure, the side lengths of the squares are labeled as follows:
- Side length of square A = a units
- Side length of square B = 21 units
- Side length of square C = 29 units
Given that the area of square B is 441 square units, we can find the value of side length b using the formula for the area of a square:
Area of square B = Side length of square B squared
441 = 21^2
441 = 441
Therefore, the side length of square B is indeed 21 units.
Given that the area of square C is 841 square units, we can find the value of side length c using the formula for the area of a square:
Area of square C = Side length of square C squared
841 = 29^2
841 = 841
Therefore, the side length of square C is indeed 29 units.
The correct values for the missing area and side lengths are:
- Area of square A: 400 square units
- Side length of square A: 20 units