Answer: B is the right answer. Diameter of the given rectangular lawn=17 feet.
Step-by-step explanation:
Given: A rectangular lawn 15 feet long and 8 feet wide.
To find the diagonal of lawn such that it will divide the area of the lawn into two right triangles. [i.e. diagonal will be the hypotenuse]
So by Pythagoras theorem of right triangles,
[tex]hypotenuse^2=perpendicular^2+base^2\\\Rightarrow\ diagonal^2=length^2+width^2\\\text{substitute the values of length and width,we get}\\\Rightarrow\ diagonal^2=15^2+8^2=225+64=289\\\Rightarrow\ diagonal=\sqrt{289}= \sqrt{17\times17}=17[/tex]
Therefore diameter of the given rectangular lawn=17 feet.
