Answer:
840.96 square inches.
Explanation:
If you want to find out how much space a weird shape takes up, you have to chop it up into smaller pieces that you know how to measure. Then you measure each piece and add them all up. Let me show you how it works:
Look at this funky shape. It's like a rectangle with two half-circles stuck to it. The rectangle is 40 inches long and 16 inches wide. The half-circles have a diameter of 16 inches, so their radius is half of that, which is 8 inches.
To find the area of the rectangle, just multiply its length and width. Area of rectangle = 40 x 16 = 640 square inches
To find the area of one half-circle, use this formula: A = πr²/2, where r is the radius and π is about 3.14. Area of one half-circle = 3.14 x 8²/2 = 3.14 x 64/2 = 100.48 square inches
To find the area of both half-circles, just double the area of one half-circle. Area of both half-circles = 100.48 x 2 = 200.96 square inches
To find the total area of the funky shape, just add the area of the rectangle and the area of both half-circles. Total area = 640 + 200.96 = 840.96 square inches.
Round the answer to make it look nicer: Total area ≈ 840.96 square inches.
So that's how much space the funky shape takes up: about 840.96 square inches.