What is the length of the rectangular section of the garden.

Question

Rudy drew a design for a garden that has a rectangular section next

to a semicircular section. The radius of the semicircular section is

21 feet (ft). The length of the diagonal of the rectangular section is

70 ft, as shown in the diagram below.

Answer 1

L^2 = 70^2 - 42^2 = 4900- 1764 = 3136

L= sqr3136 = 56 feet= length of the rectangle.

a right triangle is formed with 70 as the hypotenuse

and the other two sides are 42 and 56

sum of squares of the shorter sides = square of the hypotenuse

56^2 + 42^2 = 70^2

42 = 2(21) = twice the radius of the semi-circle