Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Pic of shape: s3.amazonaws.com/tn8prev-prd-cn-tn8general/items/2/7c04351c-3b34-4f85-a170-d1a8bb17af59/assets/478540-3192012-30307-PM-931753713.png
Calculate the area of the composite figure, which is not drawn to scale.
Please help... I don't know how to solve this question
find the area of the shapes and add them together
formula for triangle: a = 1/2bh, a = bh/2 (choose either one of those)
formula for rectangle: a = bh
the letters next to each other mean multiply
To calculate the area of the composite figure, we need to break it down into simpler shapes and calculate their individual areas.
Step 1: Identify the simpler shapes within the composite figure.
In this case, we can identify two rectangles and a triangle as the simpler shapes.
Step 2: Calculate the area of the rectangles.
Rectangle 1:
Length = 11 units
Width = 7 units
Area = Length × Width = 11 units × 7 units = 77 square units
Rectangle 2:
Length = 8 units
Width = 4 units
Area = Length × Width = 8 units × 4 units = 32 square units
Step 3: Calculate the area of the triangle.
The base and height of the triangle can be determined by examining the dimensions of the composite figure.
Base = 16 units
Height = 8 units
Area of triangle = 1/2 × Base × Height = 1/2 × 16 units × 8 units = 64 square units
Step 4: Calculate the total area of the composite figure.
Total Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Triangle
= 77 square units + 32 square units + 64 square units
= 173 square units
Therefore, the area of the composite figure is 173 square units.
To calculate the area of a composite figure, we need to break it down into simpler shapes, calculate their individual areas, and then add them up.
Looking at the given composite figure, we can see that it consists of two rectangles and a triangle. Let's calculate the area of each shape and then add them together.
Step 1: Area of the first rectangle
The first rectangle has a length of 6 units and a width of 5 units. To find the area, we multiply the length by the width:
Area = length × width = 6 units × 5 units = 30 square units
Step 2: Area of the triangle
The triangle has a base of 7 units and a height of 4 units. The formula to find the area of a triangle is:
Area = (base × height) ÷ 2
Area = (7 units × 4 units) ÷ 2 = 28 square units
Step 3: Area of the second rectangle
The second rectangle has a length of 4 units and a width of 3 units. To find the area, we multiply the length by the width:
Area = length × width = 4 units × 3 units = 12 square units
Step 4: Add the areas of all shapes together
To find the total area of the composite figure, we add the areas of the individual shapes:
Total Area = Area of Rectangle 1 + Area of Triangle + Area of Rectangle 2
Total Area = 30 square units + 28 square units + 12 square units = 70 square units
Therefore, the area of the composite figure is 70 square units.