Find the area of the polygon in square units
It’s a L shape with the numbers 13, 15,7,7
To find the area of the polygon, we need to break it up into two separate shapes: a rectangle and a triangle.
The rectangle has a length of 15 units and a width of 7 units. The area of a rectangle is calculated by multiplying the length by the width:
Area of rectangle = length x width
Area of rectangle = 15 x 7
Area of rectangle = 105 square units
Next, we need to calculate the area of the triangle. The base of the triangle is 7 units and the height can be found by subtracting the length of the rectangle (15 units) from the total length of the polygon (13 units):
Height of triangle = 13 - 15
Height of triangle = 2 units
The area of a triangle is calculated by multiplying the base by the height and dividing by 2:
Area of triangle = (base x height) / 2
Area of triangle = (7 x 2) / 2
Area of triangle = 7 square units
Finally, we add the areas of the rectangle and triangle to find the total area of the L-shaped polygon:
Total area = area of rectangle + area of triangle
Total area = 105 + 7
Total area = 112 square units
Therefore, the area of the L-shaped polygon is 112 square units.
No that’s not the right answer
I apologize for the mistake. Let's recalculate the area of the L-shaped polygon using the correct measurements.
The L-shaped polygon can be divided into a rectangle with dimensions 15 by 7 units and a smaller rectangle with dimensions 13 by 7 units. We can find the total area by adding the areas of these two rectangles.
Area of the larger rectangle = length x width
Area of larger rectangle = 15 x 7
Area of larger rectangle = 105 square units
Area of the smaller rectangle = length x width
Area of smaller rectangle = 13 x 7
Area of smaller rectangle = 91 square units
Total area of the L-shaped polygon = Area of larger rectangle + Area of smaller rectangle
Total area = 105 + 91
Total area = 196 square units
Therefore, the correct area of the L-shaped polygon is 196 square units. Thank you for pointing out the error, and I appreciate your understanding. Let me know if you need any further assistance.