A rectangle has an area of 48 cm² and a length of 12 cm. What is the width?

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Question: A rectangle has an area of 48 cm² and a length of 12 cm. What is the width?

Options:

Correct Answer: 6 cm

Solution:

Area = length × width. 48 = 12 × width, so width = 48/12 = 4 cm.

A rectangle has an area of 48 cm² and a length of 12 cm. What is the width?

A rectangle has an area of 48 cm² and a length of 12 cm. What is the width?

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 the area: Area = length × width.
Step 3: Substitute the known values into the formula. We know the area is 48 cm² and the length is 12 cm, so we write: 48 = 12 × width.
Step 4: To find the width, we need to isolate it. We can do this by dividing both sides of the equation by 12.
Step 5: Perform the division: width = 48 ÷ 12.
Step 6: Calculate the result: width = 4 cm.

Area of a Rectangle – The area of a rectangle is calculated by multiplying its length by its width.
Algebraic Manipulation – Solving for an unknown variable by rearranging an equation.