Answer:
For all right triangles, use this formula: a² + b² = c² where a and b are the sides touching the right angle and c is the hypotenuse.
For all rectangles, use this formula: width x length = area
Since there are two of the same right triangles on both sides (4 total right triangles), you can multiple the area by 2 once one side is solved for both right triangles: 2² + b² = 4² equals 4 + b² = 16 equals 4 - 4 + b² = 16 -4 (subtract 4 from both sides) equals b² = 12 equals b = 3.46 (take the square root of both sides to find "b") 3.46 is rounded to 2 decimal places.
To get the area of a triangle, multiply the two sides touching the right angle, 2 in. & 3.46 in. then divide by 2 since a right triangle is exactly half of a rectangle. First area of the first right triangle is 3.46 in. times two of them equals 6.92 in.
Let's solve the other right triangle with the same method above: 2² + b² = 3²
b = 2.24
Find the area now by the same method as above: (2 × 2.24)/2 = 2.24 in.
Get the total area of both right triangles: 2.24 × 2 = 4.48 in.
Add up triangle areas: 6.92 in. + 4.48 in. = 11.4 in.
Find the rectangle areas using the formula previously mentioned:
1st: 4 × 2 = 8 in.
2nd: 3 × 2 = 6 in.
3rd: 6 × 2 = 12 in.
Add them together: 26 in.
Add triangle area and rectangle area together for the FINAL ANSWER:
37.4 in.
Step-by-step explanation:
