Find the total distance slong the longer sides of the rectangle and along the two semicircles. The length is 10 and the height is 4.
I think the answer is 32.6 but I'm not sure if it's right. Is it right?
Two semicircles make a circle;
PI*4+2*10=32.57
To find the total distance along the longer sides of the rectangle, you need to add the lengths of both longer sides. The length of the rectangle is given as 10, so the total distance along the longer sides is 10 + 10 = 20.
To find the total distance along the two semicircles, you need to calculate the circumference of each semicircle and then add them together.
The circumference of a circle can be found using the formula: C = πd, where C is the circumference and d is the diameter. Since the semicircle is half of a full circle, the diameter will be equal to the height of the rectangle, which is given as 4.
So, the circumference of a semicircle is C = π(4) = 4π.
Since there are two semicircles, the total distance along the two semicircles is 2(4π) = 8π.
To get an approximate numerical value, you can use the approximation π ≈ 3.14.
Substituting this approximate value into the equation, the total distance along the two semicircles is approximately 8(3.14) ≈ 25.12.
Finally, to find the total distance, you need to add the distance along the longer sides and the distance along the two semicircles: 20 + 25.12 ≈ 45.12.
Therefore, the total distance is approximately 45.12, not 32.6.