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Calculate the area of the composite figure, which is not drawn to scale.
17 cm on top 22cm on the left side 17 cm on the bottom 19 cm on the bottom on the right 19cm 10 cm on the top right
help please!!!!
do yall need a image
its a long square and at the bottom right is a triangle
anyone
yea uwwu
To calculate the area of the composite figure, we need to break it down into smaller shapes and find their individual areas. Then, we can add up the areas of these shapes to obtain the total area of the composite figure.
1. Start by drawing the given figure and labeling the dimensions:
- The top side is 17 cm long.
- The left side is 22 cm long.
- The bottom side is 17 cm long.
- The right side is 19 cm long.
- The diagonal on the top right is 10 cm long.
- The diagonal on the bottom right is 19 cm long.
2. Divide the figure into smaller shapes:
- The composite figure can be divided into a rectangle and a right-angled triangle.
- The rectangle has a length of 17 cm and a width of 22 cm.
- The right-angled triangle has a base of 19 cm and a height of 10 cm.
3. Calculate the area of the rectangle:
- The area of a rectangle is given by the formula: Area = length × width.
- In this case, the length is 17 cm and the width is 22 cm.
- So, the area of the rectangle is: Area_rectangle = 17 cm × 22 cm.
4. Calculate the area of the right-angled triangle:
- The area of a triangle is given by the formula: Area = (base × height) / 2.
- In this case, the base is 19 cm and the height is 10 cm.
- So, the area of the triangle is: Area_triangle = (19 cm × 10 cm) / 2.
5. Add up the areas of the rectangle and the triangle to find the total area:
- Total_area = Area_rectangle + Area_triangle.
Now, you can plug in the dimensions and perform the calculations to find the area of the composite figure.