What is the area of the rectangle whose length 431 meters and the width 243?
To solve this problem, we'll calculate the area of a rectangle given in mixed numbers using these steps:
- Step 1: Convert mixed numbers to improper fractions.
- Step 2: Multiply the improper fractions to find the area.
- Step 3: Simplify the resulting fraction and convert it back to a mixed number if possible.
Let's proceed with each step:
Step 1: Convert mixed numbers to improper fractions.
Given length 431 meters and width 243 meters, we convert each:
431=313,243=411
Step 2: Multiply the improper fractions to calculate the area.
Area=313×411=3×413×11=12143
Step 3: Simplify 12143 and convert to a mixed number.
Divide 143 by 12:
143÷12=11remainder11
So, 12143=111211
Therefore, the area of the rectangle is 131211 square meters.
131211