Rectangle Problem: Find Side BC When Area is 64 cm² and AB = 4BC

Given the rectangle ABCD

Given BC=X and the side AB is 4 timis larger than the side BC.

The area of the rectangle is 64 cm².

Calculate the side BC

S=64S=64S=644X4X4XXXXAAABBBCCCDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate BC
00:04 The formula for calculating rectangle area is side(AB) multiplied by side (BC)
00:21 Let's substitute appropriate values and solve for X
00:32 Divide by 4
00:38 Extract the root to find X
00:45 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Given the rectangle ABCD

Given BC=X and the side AB is 4 timis larger than the side BC.

The area of the rectangle is 64 cm².

Calculate the side BC

S=64S=64S=644X4X4XXXXAAABBBCCCDDD

2

Step-by-step solution

Let's begin by calculating the area of the rectangle using the given data:

64=4x×x 64=4x\times x

64=4x2 64=4x^2

Next we will divide both sides by 4:

16=x2 16=x^2

And we will remove the square root:

4=x 4=x

Therefore, BC equals 4.

3

Final Answer

4

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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