alliekatz2005 alliekatz2005

25-11-2019
Mathematics

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A rectangular picture has a height that is 5/7 of its width. It’s area is 140 square inches. What are the dimensions of the picture?

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salatulmaghrib salatulmaghrib

25-11-2019

Area = a
width = w
height = h
a = wh
h = (5/7)w
h = 5w/7
a = (5w/7)(w)
a = 140
140 = (5w/7)(w)
140 = (5w^2)/7
sqrt((140*7)/5) = w
14 = w
h = 5*14/7 = 10

Dimensions: height 10 inches, width 14 inches

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