Problema Solution

You plan to stain the wooden deck attached to your house. The deck measures

16 feet by 11 feet. A quart of stain will cost $9.50 and will cover 45feet squared. How many quarts of stain do you plan to buy.

Answer provided by our tutors

we will assume the deck has a rectangular shape with dimensions:


l = 16 ft the length


w = 11 ft the width


the area of the deck is: A = length*width


A = l*w


A = 16*11


A = 176 ft^2


1 quart = 45 ft^2


let x = the quarts we need to cover 176 ft^2


since the quarts of paint is directly proportional to the area we have:


1 : 45 = x : 176


by solving we find:


x = 3.91 qt approximately


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3.91 quarts of paint are needed to cover the deck.