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Q.

A picture is painted on cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides then the total area of the margin is ____ cm2.


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Detailed Solution

Concept: The total area of the margin is  30 cm2. After deducting the length of the margin from the stated length and breadth, we first determine the length and width of the cardboard. Then, since we are aware that the cardboard is rectangular in shape, we utilize the rectangle's formula to determine its area. The appropriate response is then obtained by deducting the area of the margin from it.
On a piece of cardboard that is 8 cm length and 5 cm wide, we have painted a picture. Additionally, there is a 1.5 cm margin on each of its sides.
IMG_256We must determine the margin's area.
The area of cardboard will be determined by Area=length ×  width because it is rectangular in shape.
Assuming that length is 8 cm and width is 5 cm
We shall therefore determine that the real area is Area=8×5
Area=40cm2.
Now that we've established that there is a 1.5 cm margin along each of its sides, the cardboard's length and width will be reduced by 1.5 + 1.5 = 3 cm.
the shorter length will be 8-3 = 5 cm.
5- 3 = 2 cm will be the reduced width.
Therefore, the cardboard's decreased area will be 52=10 cm2.
The area of the margin will now actually be lowered to 40-10=30 cm2.
Hence, the margin has a total area of 30  cm2.
 ExamType: CBSE
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