What is the area of the composite figure in square units? the sides of the figure are 5,4,3,and 2, with 5 right angles.
To find the area of the composite figure, we first need to determine the individual areas of the shapes within the figure and then add them together.
The figure is made up of a square with side length 5 units, a rectangle with sides of 4 and 3 units, and a right triangle with legs of 2 and 3 units.
Area of square = side length^2 = 5^2 = 25 square units
Area of rectangle = length x width = 4 x 3 = 12 square units
Area of triangle = 1/2 x base x height = 1/2 x 2 x 3 = 3 square units
Now, add the areas of all three shapes together:
25 + 12 + 3 = 40
Therefore, the area of the composite figure is 40 square units.
wrong
I apologize for the mistake in my previous calculation. Let's reevaluate the area of the composite figure.
Given that the sides of the composite figure are 5, 4, 3, and 2 units with 5 right angles, we can see that the figure can be broken down into a square and a right triangle.
The square has a side length of 5 units, so its area is 5^2 = 25 square units.
The right triangle has legs of 2 units and 3 units, giving it an area of (1/2) x base x height = (1/2) x 2 x 3 = 3 square units.
Now, let's add the areas of the square and the right triangle:
25 (square) + 3 (triangle) = 28
Therefore, the correct area of the composite figure in square units is 28 square units. Thank you for pointing out the error earlier.