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a) A liter of paint covers an area of 2 square meters. It takes 3 liters of paint to paint a rectangular wall?
a) A liter of paint covers an area of 2 square meters. It takes 3 liters of paint to paint a rectangular wall that is 4 meters high. How wide is the wall ?
(b) A liter of paint covers an area of A square meters. It takes v liters of paint to paint a rectangular wall that is h meters high. How wide is the wall ?
Coverate is 2 sq meters/liter
a) it takes 3 liters to paint the rectangular wall
Area = (amount of paint) * coverage
Area = 3 liters * 2 sq meters/liter = 6 sq. meters.
area = height * width = 6 sq meters = 4 meters * width
hence width = 6 /4 = 1.5 meters.
b) same problem letters instead of numbers
coverage is A sq meters/liter
Coverage area = V liters * A sq meters/liter = AV sq meters.
Area of wall = Height * Width = HW.
or AV = HW or W = AV/H.
check use part a, A(coverage) = 2, V= 3 lieters of paint.
Height (H) = 4 meters,
so Width (W) = 2 * 3/4 = 1.5 q.e.d.