Question #7793e

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Answer 1 · 2017-03-30T01:39:34

#1.2 pi#

The arc wide is #3.2#m, therefore it radius is #3.2/2 =1.6#m and rectangular wide = arch wide =#3.2#m

let say that rectangular height = #h#
therefore,
Area of rectangle #= 3.2 * h#
Area of arch # = 1/2 pi (1.6)^2 =1.28 pi#

Area of rectangle : area of arch = #3 : 1#

Area of rectangle / area of arch = #3/ 1#

#(3.2 * h)/(1.28 pi) = 3/1#

#3.2 h = 3(1.28 pi)#

#3.2 h = 3.84 pi#

#h = 3.84/3.2 pi#

#h =1.2 pi#