SOLUTION: a rectangular lawn has a semicircular flowerbed at the end. The distance all the way around the outside of the garden is 16.848m. THe distance around the outside of the lawn is 13.

Algebra ->  Linear-equations -> SOLUTION: a rectangular lawn has a semicircular flowerbed at the end. The distance all the way around the outside of the garden is 16.848m. THe distance around the outside of the lawn is 13.      Log On


   

Question 1006250: a rectangular lawn has a semicircular flowerbed at the end. The distance all the way around the outside of the garden is 16.848m. THe distance around the outside of the lawn is 13.2m. Find the dimension of the rectangular lawn .
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Garden is Flower Bed plus the Lawn.

Draw the described picture:
Rectangle lawn length x, width y;
Connect the semicircle to one of the x sides; the radius of the semicircle is x%2F2.

Perimeter around ALL the garden, pi(x/2)+x+2y=16.848

Perimeter JUST the lawn, 2x+2y=13.2

Solve this system, system%28pi%2Ax%2F2%2Bx%2B2y=16.848%2C2x%2B2y=13.2%29, any way you want to.