Deepak has just opened a new organic fruits and vegetables shops. He wants to distribute printed T-shirt to his workers to create publicity for his shop. So he approaches samira with an image. Samira cropped out a square image from the photo to be printed on the T-shirt. She tripled the width of the Image but kept it in a square. she then cut off 2 rectangles from both sides of the image. the width of the image was now 2/3 of the width before this edit. so then she reduced the dimensions of the image by the half.
The area of the image was now 21.66 square cm. what was the width of the initial cropped image?
Answers
Given : cut off two rectangles from both sides of the image. The width of the image was now 2/3 of the width before this edit.
then reduced the dimensions of the image by half.
The area of the image was now 21.66 cm2.
To Find : the width of the initial cropped image
Solution:
Let say square image = 6x cm by 6x cm
The width of the image was now 2/3 of the width before this edit.
= width now = (2/3)6x =4x cm
width of cropped part = 6x - 4x = 2x cm
Hence size remains = 6x cm by 4x cm
reduced the dimensions of the image by half.
Hence reduced size = 3x cm by 2x cm
Area of image = 3x * 2x = 6x²
6x² = 21.66
=> x² = 3.61
=> x = 1.9
2x = 2 * 1.9 = 3.8 cm
the width of the initial cropped image = 3.8 cm
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