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Pentagon A, rectangle B and triangle C formed the figure below. The ratio of the area of A : B : C is 6 : 5 : 3. If \( {1 \over 4}\)of C is shaded, what fraction of the figure is unshaded? The figure is not drawn to scale.

 Jul 7, 2022
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A : B : C = 6 : 5 : 3

(area of Pentagon)/(area of Triangle) = 6/3 = 2 = A/C

shaded = 1/4c

unshaded = area of Pentagon - shaded

              = 2c - 1/4c

              = (8c - c)/4

unshaded = 7/4c = 7/4 * A/2

unshaded = 7/8 (area of Pentagon).

unshaded = 7/8 (area of figure)

                     7/8

 Jul 7, 2022

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