Question

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

Answer 1

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