Question 96674
let h=(height of the window) ... the radius of the semicircle is 3/2 ... the length of the rectangle is h-(3/2)


(rectangle area)+(semicircle area)=24 ... 3(h-(3/2))+(pi(3/2)^2)/2=24 ... h=((24-((pi(3/2)^2)/2))/3)+(3/2)


using a calculator gives h=8.32 (approximately)