Question #7793e

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Question #7793e

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Answer 1 · 2017-03-30T01:39:34

$1.2 π$ $1.2 pi$

Explanation:

The arc wide is $3.2$ $3.2$ m, therefore it radius is $\frac{3.2}{2} = 1.6$ $3.2/2 =1.6$ m and rectangular wide = arch wide = $3.2$ $3.2$ m

let say that rectangular height = $h$ $h$
therefore,
Area of rectangle $= 3.2 \cdot h$ $= 3.2 * h$
Area of arch $= \frac{1}{2} π {(1.6)}^{2} = 1.28 π$ $= 1/2 pi (1.6)^2 =1.28 pi$

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

Area of rectangle / area of arch = $\frac{3}{1}$ $3/ 1$

$\frac{3.2 \cdot h}{1.28 π} = \frac{3}{1}$ $(3.2 * h)/(1.28 pi) = 3/1$

$3.2 h = 3 (1.28 π)$ $3.2 h = 3(1.28 pi)$

$3.2 h = 3.84 π$ $3.2 h = 3.84 pi$

$h = \frac{3.84}{3.2} π$ $h = 3.84/3.2 pi$

$h = 1.2 π$ $h =1.2 pi$

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Question #7793e

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