What is the area of the shape below?
A rectangle with a piece missing from the top left corner. The missing piece is also a rectangle. The rectangle is 8 feet by 7 feet. The missing rectangle corner is 3 feet by 5 feet.
To find the area of the shape, we need to subtract the area of the missing piece from the area of the larger rectangle.
The area of the larger rectangle is calculated by multiplying its length and width: 8 feet x 7 feet = 56 square feet.
The area of the missing rectangle corner is calculated by multiplying its length and width: 3 feet x 5 feet = 15 square feet.
Therefore, the area of the shape is 56 square feet - 15 square feet = 41 square feet.
What is the total area, in square units, of the shaded figures in the grid below?
Rectangle A and Rectangle B on a unit square grid. Rectangle A has 5 rows of 2 shaded squares. Rectangle B has 3 rows of 7 shaded squares.
To find the total area of the shaded figures, we need to multiply the number of shaded squares by the area of each square.
Rectangle A has 5 rows of 2 shaded squares, so it has a total of 5 x 2 = 10 shaded squares.
Rectangle B has 3 rows of 7 shaded squares, so it has a total of 3 x 7 = 21 shaded squares.
Since each square has an area of 1 square unit, the total area of the shaded figures is 10 square units + 21 square units = 31 square units.
What is the area of the shape below?
A shape formed by connecting a rectangle and a square. The rectangle on the bottom has a length of 4 feet and width of 6 feet. The square on top has a side length of 2 feet.
To find the area of the shape, we need to calculate the individual areas of the rectangle and the square, and then add them together.
The area of the rectangle is calculated by multiplying its length and width: 4 feet x 6 feet = 24 square feet.
The area of the square is calculated by multiplying the length of one side by itself: 2 feet x 2 feet = 4 square feet.
Therefore, the area of the shape is 24 square feet + 4 square feet = 28 square feet.
The area of the orange rectangle is 26 square units.
The area of the blue rectangle is 7 square units.
What is the area of the shape they make together (in square units)?
A large rectangle on the left and a small rectangle on the right. About 4 of the smaller rectangles could fit inside the larger rectangle.
If 4 of the smaller rectangles could fit inside the larger rectangle, then the area of the smaller rectangle is one-fourth of the area of the larger rectangle.
Let's assume the area of the larger rectangle is x square units.
Since the area of the smaller rectangle is one-fourth of the larger rectangle, then the area of the smaller rectangle is (1/4) * x = 7 square units.
Solving this equation, we find that x = 4 * 7 = 28 square units.
Therefore, the area of the shape made by the two rectangles together is 26 square units + 28 square units = 54 square units.