A painting is painted on a rectangular cardboard 19 cm long and 14 cm wide, such that there is a margin of 1,5 cm along each of its sides. Find the total area of the margin
To find the total area of the margin, we first need to find the area of the entire cardboard.
The length of the cardboard is 19 cm and the width is 14 cm.
To find the area, we multiply the length by the width :
Area = length * width = 19 cm * 14 cm = 266 cm^2
Now, we need to subtract the area of the actual painting to find the area of the margin.
Since there is a margin of 1.5 cm along each side, the actual painting will have a length of 19 cm - 2(1.5 cm) = 16 cm
Similarly, the actual painting will have a width of 14 cm - 2(1.5 cm) = 11 cm
To find the area of the painting, we multiply the length by the width :
Area of the painting = 16 cm * 11 cm = 176 cm^2
Therefore, the total area of the margin is :
Total area of margin = Area - Area of painting = 266 cm^2 - 176 cm^2 = 90 cm^2
To find the total area of the margin, we need to calculate the area of the entire cardboard and subtract the area of the painting itself.
The length of the cardboard is 19 cm, and there is a margin of 1.5 cm on each side. So, the length of the painting will be 19 cm - 1.5 cm - 1.5 cm = 16 cm.
Similarly, the width of the cardboard is 14 cm, and there is a margin of 1.5 cm on each side. So, the width of the painting will be 14 cm - 1.5 cm - 1.5 cm = 11 cm.
Now, we can calculate the area of the cardboard by multiplying its length and width:
Cardboard area = 19 cm * 14 cm = 266 cm²
Similarly, we can calculate the area of the painting by multiplying its length and width:
Painting area = 16 cm * 11 cm = 176 cm²
Finally, to find the area of the margin, we need to subtract the painting area from the cardboard area:
Margin area = Cardboard area - Painting area
= 266 cm² - 176 cm²
= 90 cm²
So, the total area of the margin is 90 cm².
To find the total area of the margin, we need to first calculate the overall area of the cardboard and then subtract the area of the painting.
The overall area of the cardboard can be found by multiplying its length and width:
Overall area of the cardboard = 19 cm * 14 cm = 266 cm²
To find the area of the painting, we need to subtract the margins from the length and width of the cardboard:
Length of the painting = 19 cm - 2 * 1.5 cm = 16 cm
Width of the painting = 14 cm - 2 * 1.5 cm = 11 cm
Now, we can calculate the area of the painting by multiplying its length and width:
Area of the painting = 16 cm * 11 cm = 176 cm²
Finally, we can find the total area of the margin by subtracting the area of the painting from the overall area of the cardboard:
Total area of the margin = Overall area of the cardboard - Area of the painting = 266 cm² - 176 cm² = 90 cm²
Therefore, the total area of the margin is 90 cm².