Nortliera vail
- The nicrisera val of the classroom has a door and three large wrigidairs.
- The door is 2500 min $\times 900$ iss.
- Racy of the windows is $1200 mm \times 450 min$
Calculate the area of ่ชe northern wall to be painted with the following:
5.1 .1
Hue gloss paint $\qquad$ 1 tm k. $1.5=18$ = 3 เคนเฅ
5.12
White PVA:
Answer (2)
Calculate the area of the door: A d oor โ = 2500 ร 900 = 2250000 m m 2 .
Calculate the area of the three windows: A w in d o w s โ = 3 ร ( 1200 ร 450 ) = 1620000 m m 2 .
Determine the area to be painted by subtracting the areas of the door and windows from the total wall area: A p ain t โ = A w a ll โ โ A d oor โ โ A w in d o w s โ .
Express the final paintable area in terms of the total wall area: A p ain t โ = A w a ll โ โ 3870000 m m 2 .
Explanation
Problem Analysis Let's break down this problem step by step to calculate the area of the northern wall that needs to be painted. We need to account for the areas taken up by the door and the three windows.
Calculate the Area of the Door First, we calculate the area of the door. The dimensions of the door are 2500 mm x 900 mm. So, the area of the door ( A d oor โ ) is: A d oor โ = 2500 mm ร 900 mm = 2250000 m m 2
Calculate the Area of One Window Next, we calculate the area of one window. The dimensions of each window are 1200 mm x 450 mm. So, the area of one window ( A w in d o w โ ) is: A w in d o w โ = 1200 mm ร 450 mm = 540000 m m 2
Calculate the Total Area of the Windows Since there are three windows, we need to find the total area of all three windows ( A w in d o w s โ ). This is: A w in d o w s โ = 3 ร A w in d o w โ = 3 ร 540000 m m 2 = 1620000 m m 2
Calculate the Area to be Painted Now, let's denote the total area of the northern wall as A w a ll โ . The area to be painted ( A p ain t โ ) is the total area of the wall minus the area of the door and the total area of the windows: A p ain t โ = A w a ll โ โ A d oor โ โ A w in d o w s โ Substituting the values we calculated: A p ain t โ = A w a ll โ โ 2250000 m m 2 โ 1620000 m m 2 A p ain t โ = A w a ll โ โ 3870000 m m 2
Final Answer Therefore, the area of the northern wall to be painted is A w a ll โ โ 3870000 m m 2 . Since we don't have the dimensions of the northern wall, we can only express the paintable area in terms of the wall's total area.
Summary of the Solution The area to be painted depends on the total area of the northern wall, which is not provided in the problem. The area to be painted is the total wall area minus the area of the door and windows, which equals to: A p ain t โ = A w a ll โ โ 3870000 m m 2
Examples
Imagine you're decorating your room and want to paint one of the walls. You need to calculate how much paint to buy. First, measure the total area of the wall. Then, subtract the areas of any windows or doors on that wall. The remaining area is what you'll actually paint. This calculation ensures you buy the right amount of paint, saving you money and preventing waste.
To find the paintable area of the northern wall, subtract the combined area of the door (2250000 mmยฒ) and the three windows (1620000 mmยฒ) from the total wall area. This results in a paintable area of A p ain t โ = A w a ll โ โ 3870000 m m 2 . However, the actual total wall area is needed to calculate a specific value.
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