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 = $3/ 1$

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

$3.2 h = 3(1.28 pi)$

$3.2 h = 3.84 pi$

$h = 3.84/3.2 pi$

$h =1.2 pi$