Rectangle Area Problem: Finding BC When AB = 5cm and Area = 30cm²

Below is the rectangle ABCD, which has an area of 30 cm².

S=30S=30S=30555AAABBBCCCDDD

Side AB is equal to 5 cm.
What is the length of side BC?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:10 Let's find the length of side B C in this rectangle.
00:14 To solve this, we'll use the area formula for a rectangle, which is length times width.
00:20 We multiply side A B by side B C to get the area.
00:24 To make this easier, let's call the unknown side B C 'x'.
00:29 Now, we can put our known values into the formula and solve for x, step by step.
00:35 And there we have it! That's how we find the length of side B C.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Below is the rectangle ABCD, which has an area of 30 cm².

S=30S=30S=30555AAABBBCCCDDD

Side AB is equal to 5 cm.
What is the length of side BC?

2

Step-by-step solution

First, we will multiply side AB by side BC.

We know that side BC equals 5, therefore:

AB×BC=AB×5 AB\times BC=AB\times5

We will label side AB as x x .

Therefore:

5x=30 5x=30

Next, we will divide both sides by 5 to obtain the following:

x=6 x=6

Therefore:
BC=6 BC=6

3

Final Answer

6 cm

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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