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pashok25 [27]
3 years ago
9

Rectangles JKLM and STUV are similar. The width of JKLM Is 30 feet and the perimeter is 140 feet. The length of STUV is 8 yards.

Find the ratio of the area of JKLM to the area STUV
Mathematics
1 answer:
algol133 years ago
5 0
Rectangle JKLM:
p = 140 ft
w = 30ft
l = (140 - 2(30))/2 = 40ft
A = (30)(40) = 1200 ft²

Rectangle STUV:
l = 8yd = (8)(3) = 24 ft

24ft/40ft = 3/5

so . .

w = 3/5*30 = 18ft
A = 3/5*1200 = 720 ft²

Ratio of area JKLM:STUV = 1200/720 = 5/3
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In case of regular polygon, it is equilateral and equiangular, we use a segment that joins the polygon’s center to the midpoint of any side and that is perpendicular to that side(APOTHEM) to find the area that is:

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