Rectangle Area: Solving with Width x and Length x/2 When x=4

The width of a rectangle is equal tox x cm and its length is equal tox2 \frac{x}{2} cm.

x=4 x=4

What is the area of the rectangle?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the rectangle's area
00:03 Apply the formula for calculating the area of a rectangle (side x side)
00:09 Substitute in the X value according to the given data and solve for the area
00:17 This is the solution

Step-by-step written solution

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1

Understand the problem

The width of a rectangle is equal tox x cm and its length is equal tox2 \frac{x}{2} cm.

x=4 x=4

What is the area of the rectangle?

2

Step-by-step solution

The area of a rectangle is its length multiplied by its width.

Let's put the data into the formula:

S=x×x2=x22 S=x\times\frac{x}{2}=\frac{x^2}{2}

Since we know that x x equals 4, we can substitute it into the formula and solve accordingly:

S=422=162=8 S=\frac{4^2}{2}=\frac{16}{2}=8

3

Final Answer

8

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
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