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a photograph measuring 7.5 cm by 6.5 cm is to be enlarged. If the enlargement of the longest side is 18cm, then the length of the smaller side is: |
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Answer» Answer: the LENGTH of the shorter side is 12 cm an the ratio area increased by 5.76:1. Step-by-step explanation: conside the provided information. the area of rectangle is = a × b, where a and b are the SIDES. a photo measuring 7.5cm by 5cm the area of the photo is : 7.5 × 5= 37.5cm^2 let x be the constant ratio Ratio of length : Width= 7.5x : 5x Now the area of the largest side becomes 18cm. 7.5x = 18 x = 18/7.5 x = 2.4 thus the width is 5x = 5 × 2.4 = 12cm. the new length and width is 18 cm and 12 cm respectively. now the new area is: 18 × 12 = 216 cm^2 The ratio of area increase is 216 : 37.5 which is also EQUALS to 5.76 : 1. |
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