SOLUTION: A semicircle is attached on one side of a rectangle. The length of the rectangle is 10cm and the breadth is 14cm. Find the perimeter of the shape.

Algebra ->  Points-lines-and-rays -> SOLUTION: A semicircle is attached on one side of a rectangle. The length of the rectangle is 10cm and the breadth is 14cm. Find the perimeter of the shape.      Log On


   



Question 1001882: A semicircle is attached on one side of a rectangle. The length of the rectangle is 10cm and the breadth is 14cm. Find the perimeter of the shape.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Two possible answers, so decide which one you want.

Dimensions are x and y for the rectangle. Let the semicircle be connected to ONE of the lengths for x.

Length of semicircle curved part is %281%2F2%292%2Api%2A%28x%2F2%29=x%2Api%2F2.
Sum of the lengths of the three straight segments making the rest of the rectangle is x%2B2y.

Perimeter is highlight%28x%2B2y%2B%28pi%2F2%29x%29.