Find the value of c that completes the square for x2+12x+c .
1 answer:
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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
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
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
So the area of the figure is 352 square cm.