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Marco's class is painting a mural on the side of their school. The mural covers a 
3(1)/(2)m high, rectangular wall. It has an area of 
28m^(2).
What is the length of the mural?
m

Marco's class is painting a mural on the side of their school. The mural covers a 312 m 3 \frac{1}{2} \mathrm{~m} high, rectangular wall. It has an area of 28 m2 28 \mathrm{~m}^{2} .\newlineWhat is the length of the mural?\newlinem

Full solution

Q. Marco's class is painting a mural on the side of their school. The mural covers a 312 m 3 \frac{1}{2} \mathrm{~m} high, rectangular wall. It has an area of 28 m2 28 \mathrm{~m}^{2} .\newlineWhat is the length of the mural?\newlinem
  1. Identify Problem & Values: Understand the problem and identify the given values.\newlineWe are given the height of the mural, which is 3.53.5 meters (312m3\frac{1}{2}m), and the area of the mural, which is 2828 square meters (28m228m^{2}). We need to find the length of the mural.
  2. Use Area Formula: Use the formula for the area of a rectangle to find the length.\newlineThe area of a rectangle is given by the formula Area=Length×Height\text{Area} = \text{Length} \times \text{Height}. We can rearrange this formula to solve for the length: Length=AreaHeight\text{Length} = \frac{\text{Area}}{\text{Height}}.
  3. Calculate Length: Plug in the given values and calculate the length.\newlineLength = 28m23.5m\frac{28m^{2}}{3.5m}
  4. Perform Division: Perform the division to find the length.\newlineLength = 28÷3.528 \div 3.5\newlineLength = 88
  5. Check Calculation: Check the calculation for any mathematical errors.\newlineRecheck the division: 28÷3.5=828 \div 3.5 = 8. There are no mathematical errors in the calculation.

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