in a greeting card measuring 15 CM by 10 cm if photograph is pasted leaving MRG in of 1 cm along its border find the area of photograph
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Given data : If the photo is pasted into a greeting card measuring 15 cm by 10 cm, with its border leaving a margin in 1 cm.
To find : Find the area of the photograph.
Solution : Here, a/c to given data;
➜ Length of card = 15 cm
➜ Breadth of card = 10 cm
Let, the shape of the greeting card is rectangular.
Now, by formula of area of rectangle;
➜ Area of card = Length * Breadth
➜ Area of card = 15 * 10
➜ Area of card = 150 cm²
Now, after leaving a margin in 1 cm. {a/c to given data}
➜ New length = Length of card + 2 * {Length of margin}
➜ New length = 15 + 2 * 1
➜ New length = 15 + 2
➜ New length = 17 cm similarly,
➜ New breadth = Breadth of card + 2 * {Breadth of margin}
➜ New breadth = 10 + 2 * 1
➜ New breadth = 10 + 2
➜ New breadth = 12 cm
Now,
➜ New, area (Card with margin) = New length * New breadth
➜ New, area (Card with margin) = 17 * 12
➜ New, area (Card with margin) = 204 cm²
Now,
➜ Area of photograph = New, area - Area of card
➜ Area of photograph = 204 - 150
➜ Area of photograph = 54 cm²
Answer : Hence, area of the photograph is 54 cm².