Analise is trying to find one of the sides of the trapezoid. She knows that the area is \( 100 \mathrm{~m}^{2} \), the height is 8 and one base is 14. Where does her first error occur in her work of finding the other side? Step 1: \( 100=\left(\frac{14+x}{2}\right)(8) \) Step 2: \( 100=4(14+x) \) \( 25=14+x \) Step 3: \( x=11 \) She does not have an error. Step 1, she used the wrong formula. Step 2, she simplified this step incorrectly. Step 3, she arrived at the incorrect answer. QUESTION 10 2 Points Kailee is buying some soil for her garden that is shaped like a rhombus. One of the diagonals measures 6 feet and the other measures 11 feet. If one bag of soil covers 1.75 square feet, how many bags of soil does she need to buy? Assume she is laying a flat layer of soil over the top of this garden. 19 bags 33 bags 15 bags 66 bags
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Bonus Knowledge
To find the area of a rhombus when you have both diagonals, you can use the formula: Area = (d1 * d2) / 2. In Kailee’s case, her diagonals are 6 feet and 11 feet, so the area would be (6 * 11) / 2, which equals 33 square feet. Now, with each bag of soil covering 1.75 square feet, you can simply divide the total area by the area coverage per bag to find how many bags she needs. Once you've found the area is 33 square feet, dividing that by the coverage of 1.75 square feet per bag (33 / 1.75) gives approximately 18.86. Rounding up, Kailee will need 19 bags of soil. It's always good to round up in gardening; you don’t want to be caught short when you’re all ready to lay that lovely soil!
