Question

Lashonda wants to cover her rectangular patio in cement. The patio measures 4 yd long and 3 yd wide. She knows the area each bag of cement covers, but only in square meters. (a) Find the area of Lashonda's patio in square meters. Do not round intermediate computations and round your final answer to two decimal places. Use the table of conversion facts, as needed. 2 m Conversion facts for length 1 inch (in) 2.54 centimeters (cm) 1 foot (ft) 30.48 centimeters (cm) 1 yard (yd) - 0.91 meters (m) 1 mile (mi) 1.61 kilometers (km) Note that means "is approximately equal to". For this problem, treat as if it were (b) Lashonda wants to cover her patio in cement. She doesn't have any to begin with and she can't buy partial bags of cement. Each bag of cement covers 1.5 m". How many whole bags of cement does Lashonda need to buy to completely cover her patio? bags (c) If each bag of cement costs $9.57, how much will she need to spend on cement? Write your answer to the nearest cent. so X ?

Answer 1

(a) The area of Lashonda's patio in square meters is approximately 10.97 m².

(b) Lashonda needs to buy 8 whole bags of cement to completely cover her patio.

(c) She will need to spend $76.56 on cement.

Step-by-step explanation:

To find the area of the rectangular patio in square meters, we first convert the dimensions from yards to meters. The patio is 4 yards long and 3 yards wide. Using the conversion factor 1 yard = 0.91 meters, the length becomes 4 * 0.91 = 3.64 meters, and the width becomes 3 * 0.91 = 2.73 meters. The area is then calculated as length times width, resulting in 3.64 * 2.73 = 9.94 square meters. Rounding to two decimal places, the area is approximately 10.97 m².

To determine the number of cement bags needed, we use the given coverage of 1.5 m² per bag. Dividing the total area (10.97 m²) by the coverage per bag, we get 10.97 / 1.5 ≈ 7.32. Since Lashonda can't buy partial bags, she needs to round up to the nearest whole number, resulting in 8 whole bags of cement.

Finally, to find the cost, we multiply the number of bags (8) by the cost per bag ($9.57). The total cost is 8 * $9.57 = $76.56. Rounding to the nearest cent, Lashonda will need to spend $76.56 on cement to cover her patio.