A square sheet of plastic measures 1 yard by 1 yard. Square pieces, each 5 inches by 5 inches, are cut from the plastic sheet. What percent of the plastic is wasted?Give your answer correct to one decimal place.A) 5.5%B) 3.6%C) 1.6%D) 0.3%
1 - (plastic used)/(total plastic sheet) = 1 - (35)^2 / (36)^2 = 1 - 0,94522 ≈ 0.05478 ~ 5.5 % Σ
You're going to cut out a 35x35 sheet from the 36x36 (36 * 36 - 35 * 35) / (36 * 36) = (1296 - 1225) / 1296 = 71 / 1296 = 0.05478395061728395061728395061728 5.4784% = 5.5% is wasted
A square yard is a total of 1296 square inches. A 5-inch by 5-inch piece is 25 square inches. You know that you can cut 49 squares from the sheet. If you can't see this, then make a drawing. 49 squares equals 1225 square inches. 1225/1296 is .945 of the total sheet, which is the same as 94.5. So the answer is A
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