A painting 40 cm long and 28 cm wide is painted on a cardboard such that there is a margin of 2 cm along each of its sides find total area of margin
288
(42*30) - (40*28) = ?
256
288 sq cm
288cm2
To find the total area of the margin, we need to calculate the area of the cardboard and subtract the area of the painting itself.
Given:
Length of the painting (including margin) = 40 cm
Width of the painting (including margin) = 28 cm
Margin on each side = 2 cm
First, let's calculate the total length of the cardboard by adding the margins on both sides:
Total length of the cardboard = Length of the painting + 2 * Margin
Total length of the cardboard = 40 cm + 2 cm + 2 cm = 44 cm
Next, let's calculate the total width of the cardboard by adding the margins on both sides:
Total width of the cardboard = Width of the painting + 2 * Margin
Total width of the cardboard = 28 cm + 2 cm + 2 cm = 32 cm
Now we can calculate the area of the cardboard:
Area of the cardboard = Total length of the cardboard * Total width of the cardboard
Area of the cardboard = 44 cm * 32 cm = 1408 cm²
Next, let's calculate the area of the painting itself:
Area of the painting = Length of the painting * Width of the painting
Area of the painting = 40 cm * 28 cm = 1120 cm²
Finally, we subtract the area of the painting from the area of the cardboard to find the total area of the margin:
Total area of the margin = Area of the cardboard - Area of the painting
Total area of the margin = 1408 cm² - 1120 cm² = 288 cm²
Therefore, the total area of the margin is 288 cm².