find the area of the following shapes. Show the formula used and all work. Round to 1 decimal place .

Step-by-step explanation:

Part D:

The figure shows a parallelogram with base 425 cm and height 250 cm. Its area can be found by and therefore the area of this shape is

Part E:

The figure shows a trapezoid. The area of a trapezoid is equal to the average of its bases multiplied by the height. Since one base is 2 cm and the other base is 9 cm, the average of these bases is . The height is given as 7 cm, therefore the area of the trapezoid is

Part A:

The composite figure consists of two rectangles. The area of a rectangle with base and height is given by . The total area of the figure is equal to the sum of the areas of these two rectangles.

Area of first rectangle (rectangle on bottom):

Area of second rectangle (rectangle on top):

*Since we don't know the dimensions, we must find them. Start by converting 108 inches to feet:

. Therefore, the dimensions of this rectangle are (10-5) ft by (13-9) ft and this rectangle's area is

Thus, the area of the figure is equal to

Part B:

We've already found the area of the figure in the previous part in square feet. To find the area in square meters, use the conversion .

Therefore, the area of the figure, in square meters, is

it's