A painter has skillfully adorned a piece of canvas that measures 10 x 14 inches with intricate strokes of color. To allow for a framing masterpiece, the painter has thoughtfully decided to create a 1-inch margin devoid of paint, encompassing the entire perimeter of the canvas.<br/><br/>What proportion of the canvas has been adorned with the painter's artistic creation?
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✓ Correct answer: C. 68,5%To determine the proportion of the canvas that has been adorned with the painter's artistic creation, we need to calculate the area of the painted portion relative to the total area of the canvas.<br/><br/>The canvas measures 10 x 14 inches, which means the total area is 10 * 14 = 140 square inches.<br/><br/>The painter has decided to create a 1-inch margin devoid of paint around the entire perimeter of the canvas. This means the painted portion will be 10 - 2 * 1 = 8 inches wide and 14 - 2 * 1 = 12 inches tall.<br/><br/>The area of the painted portion is therefore 8 * 12 = 96 square inches.<br/><br/>To find the proportion, we divide the area of the painted portion by the total area of the canvas:<br/><br/>Proportion = (96 / 140) * 100 = 68.57%<br/><br/>Rounded to the nearest tenth, the proportion of the canvas adorned with the painter's artistic creation is 68.5%.
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