A painting 8cm long and 5 cm wide is painted on a cardboard such that there is a margin of 1.5cm along each of its side, find the total area of the margin.
i want the answer of that question
Margin area = Total area - Picture area
= (11 x 8) - (8 x 5) cm^2
= _____ ?
abc
To find the total area of the margin, we first need to calculate the dimensions of the entire piece of cardboard.
Given:
Length of the painting = 8cm
Width of the painting = 5cm
Margin on each side = 1.5cm
To calculate the length of the cardboard, we need to add the margin on both sides:
Total length of the cardboard = Length of the painting + 2 * Margin
= 8cm + 2 * 1.5cm
= 8cm + 3cm
= 11cm
Similarly, to calculate the width of the cardboard:
Total width of the cardboard = Width of the painting + 2 * Margin
= 5cm + 2 * 1.5cm
= 5cm + 3cm
= 8cm
Now, we can calculate the area of the margin by subtracting the area of the painting from the area of the cardboard.
Area of the painting = Length of the painting * Width of the painting
= 8cm * 5cm
= 40cm^2
Area of the cardboard = Length of the cardboard * Width of the cardboard
= 11cm * 8cm
= 88cm^2
Area of the margin = Area of the cardboard - Area of the painting
= 88cm^2 - 40cm^2
= 48cm^2
Therefore, the total area of the margin is 48 square centimeters.