What is the area of the rectangle whose length 361 meters and the width 231?
To solve this problem, we'll follow these steps:
- Step 1: Convert the mixed numbers to improper fractions.
- Step 2: Multiply the improper fractions.
- Step 3: Simplify the resulting fraction.
- Step 4: Convert back to a mixed number if required.
Now, let's work through each step:
Step 1: Convert the mixed numbers to improper fractions.
361=63×6+1=619
231=32×3+1=37
Step 2: Multiply the improper fractions.
619×37=6×319×7=18133
Step 3: Simplify the resulting fraction, if possible.
Step 4: Convert back to a mixed number, since 18133 is an improper fraction:
Divide 133 by 18 to get the mixed number:
133÷18=7 remainder 7.
Thus, 18133=7187.
Therefore, the area of the rectangle is 7187 square meters.