use the image to answer the question
The shape in the image is a blue rectangle with measurements. It has sides of length 8 metters, 4 meters,3 meters, and 2 meters
What is the area of the figure in square centimeters?
To find the area of the figure, we need to multiply the length and width of the rectangle.
Area = length x width
Area = 8 meters x 4 meters = 32 square meters
Since 1 meter is equal to 100 centimeters, we need to convert square meters to square centimeters by multiplying by 10,000 (100 x 100).
32 square meters x 10,000 = 320,000 square centimeters
Therefore, the area of the figure is 320,000 square centimeters.
The area of the composite figure is 52 square meters. What is the value in meters of the height of the larger rectangle?
To find the height of the larger rectangle, we need to determine the height of the smaller rectangle and subtract it from the total height of the composite figure.
The area of the composite figure is the sum of the areas of the two rectangles:
Area of larger rectangle = 8 meters x (h + 3 meters) = 8h + 24
Area of smaller rectangle = 4 meters x 3 meters = 12
Total area = 8h + 24 + 12 = 8h + 36
Given that the total area of the composite figure is 52 square meters:
8h + 36 = 52
8h = 16
h = 2
Therefore, the height of the larger rectangle is 2 meters.