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Question

# A designer produced an image for a banner. He later realized he has made an error .So, he increased its size .The designer increases the size of the image by 112.5% to 18 inches tall by 22.5 inches wide. What was the size of the original image?

A
15 inches by 17.5 inches
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B
15 inches by 18 inches
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C
16 inches by 18.5 inches
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D
16 inches by 20 inches
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Solution

## The correct option is D 16 inches by 20 inchesLet original image be x inches tall by y inches wide.Area of original image =xyGiven that, On an increase of 112.5% of the size, new size =18×22.5Area of new image =405 in2⇒405=112.5100xy∴xy=320Option D) satisfies.

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