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

1 answer

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