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A rectangle has an area of 72 m² and a length of 12 m. What is its width?
Practice Questions
Q1
A rectangle has an area of 72 m² and a length of 12 m. What is its width?
6 m
8 m
4 m
10 m
Questions & Step-by-Step Solutions
A rectangle has an area of 72 m² and a length of 12 m. What is its width?
Correct Answer: 6 m
Steps
Concepts
Step 1: Understand that the area of a rectangle is calculated by multiplying its length by its width.
Step 2: Write down the formula for area: Area = length × width.
Step 3: Substitute the known values into the formula. We know the area is 72 m² and the length is 12 m.
Step 4: Set up the equation: 72 m² = 12 m × width.
Step 5: To find the width, rearrange the equation to solve for width: width = Area / length.
Step 6: Substitute the values into the rearranged equation: width = 72 m² / 12 m.
Step 7: Calculate the width: 72 divided by 12 equals 6.
Step 8: Conclude that the width of the rectangle is 6 m.
Area of a Rectangle
– The area of a rectangle is calculated by multiplying its length by its width.
Algebraic Manipulation
– Rearranging the area formula to solve for width involves basic algebra.
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