All angles in the figure below are right angles. What is the area of the figure? (1 point)
Responses
14
18
28
36
To find the area of the figure, we need to add up the areas of each individual rectangle.
The figure can be divided into four rectangles:
Rectangle 1: 4 units wide and 7 units tall
Rectangle 2: 4 units wide and 4 units tall
Rectangle 3: 5 units wide and 7 units tall
Rectangle 4: 5 units wide and 4 units tall
The area of each rectangle is calculated by multiplying its length and width.
Area of rectangle 1 = 4 units × 7 units = 28 square units
Area of rectangle 2 = 4 units × 4 units = 16 square units
Area of rectangle 3 = 5 units × 7 units = 35 square units
Area of rectangle 4 = 5 units × 4 units = 20 square units
To find the total area of the figure, add up the areas of all four rectangles:
Total area = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3 + Area of rectangle 4
Total area = 28 square units + 16 square units + 35 square units + 20 square units = 99 square units.
Based on the options provided, none of them match the calculated area of 99 square units.
To find the area of the figure, we can divide it into smaller rectangles and sum up their areas.
We can see that the figure can be divided into a 4x4 square and four smaller 2x1 rectangles.
The area of the 4x4 square is 4*4 = 16.
The area of each 2x1 rectangle is 2*1 = 2.
There are four such rectangles, so their total area is 4*2 = 8.
Adding the areas of the square and rectangles, we get 16 + 8 = 24.
So, the correct answer is 24.