Calculate Rectangle Side Length: Given Area 42 cm² and Height 12 cm

Below is the rectangle ABCD.

It has an area of 42 cm² and side AD is equal to 12 cm.

What is the length of side DC?
S=42S=42S=42121212AAABBBCCCDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the value of side DC
00:03 Apply the formula for calculating the area of a rectangle (side x side)
00:09 Substitute in the relevant values according to the given data and proceed to solve for DC
00:12 Isolate DC
00:16 This is the solution

Step-by-step written solution

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1

Understand the problem

Below is the rectangle ABCD.

It has an area of 42 cm² and side AD is equal to 12 cm.

What is the length of side DC?
S=42S=42S=42121212AAABBBCCCDDD

2

Step-by-step solution

Remember that to calculate the area of the rectangle, we multiply the length by the width.

Therefore:

42=12×CD 42=12\times CD

42=12CD 42=12CD

Divide both sides by 12:

3.5=CD 3.5=CD

3

Final Answer

3.5

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?
666444AAABBBCCCDDD

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