The area of the figure is 112 square inches.
Step-by-step explanation:
Step 1:
To calculate the value of the composite shape we first divide it into shapes that we know.
In this case, the composite shape consists of a rectangle and a parallelogram attached to it.
If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.
Step 2:
The rectangle has a length of 22 cm and a width of 8.5 cm. The area of a rectangle is the product of its length and its width.
The area of the rectangle[tex]= (length)(width)= (22)(8.5)=187.[/tex]
The area of the rectangle is 187 square cm.
Step 3:
The area of a parallelogram is the product of its base length and its height. The given parallelogram has a base length of 22 cm and a height of 7.5 cm.
The area of the parallelogram [tex]= (baselength)(height) = (22)(7.5) = 165.[/tex]
The area of the parallelogram is 165 square cm.
Step 4:
Now we calculate the area of the entire figure by adding the areas of the rectangle and the parallelogram.
Area of the figure [tex]= 187 + 165 = 352.[/tex]
So the area of the figure is 352 square cm.
