composite shape with angles 2 6 3 3 8 2 6 give answer ins quar e unit its a rectangle
The composite shape you have described is a combination of a rectangle and two right-angled triangles. To find the area of this composite shape, we first need to calculate the area of the rectangle and the two triangles separately, and then add them together.
1. Area of the rectangle:
The rectangle has adjacent sides of lengths 6 and 8 units. The area of a rectangle is calculated by multiplying the length and width of the rectangle. Therefore, the area of the rectangle is:
Area = length x width
Area = 6 units x 8 units
Area = 48 square units
2. Area of the triangles:
The two triangles are right-angled triangles with base and height measurements of 3 and 6 units respectively. The area of a triangle is calculated by multiplying the base and height of the triangle and dividing by 2. Therefore, the area of one triangle is:
Area of one triangle = (base x height) / 2
Area of one triangle = (3 units x 6 units) / 2
Area of one triangle = 18 / 2
Area of one triangle = 9 square units
Since there are two triangles, the total area of both triangles is:
Total area of triangles = 2 x Area of one triangle
Total area of triangles = 2 x 9 square units
Total area of triangles = 18 square units
Now, to find the total area of the composite shape, we add the area of the rectangle and the area of the triangles:
Total area = Area of rectangle + Area of triangles
Total area = 48 square units + 18 square units
Total area = 66 square units
Therefore, the total area of the composite shape is 66 square units.
that isnt a. option
Apologies for the confusion. Let's reevaluate the composite shape with the angles provided (2, 6, 3, 3, 8, 2, 6) to ensure the correct answer.
Given the description of the composite shape, we can see that it consists of a rectangle with sides of length 6 and 8 units, and two right-angled triangles with base and height measurements of 3 and 6 units.
To find the total area of the composite shape, we calculate the area of the rectangle and the area of the triangles separately, and then add them together.
Area of the rectangle:
Area = length x width
Area = 6 units x 8 units
Area = 48 square units
Area of the triangles (2 of them):
Area of one triangle = 0.5 x base x height
Area of one triangle = 0.5 x 3 units x 6 units
Area of one triangle = 9 square units
Total area of both triangles = 2 x 9 square units = 18 square units
Now, to find the total area of the composite shape, we add the area of the rectangle and the total area of the triangles:
Total area = Area of rectangle + Total area of triangles
Total area = 48 square units + 18 square units
Total area = 66 square units
Therefore, the total area of the composite shape with angles 2, 6, 3, 3, 8, 2, and 6 is indeed 66 square units.