Rectangle Area 36: Finding Length AE When AE = 1/4 AB

The area of the rectangle below is equal to 36.

AE=14AB AE=\frac{1}{4}AB

363636333AAABBBDDDCCCEEE

Calculate the size of AE.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find AE
00:04 The formula for calculating rectangle area is length (AC) times width (AB)
00:10 Let's substitute appropriate values and solve for AB
00:19 This is the size of AB
00:22 AE equals one-fourth of AB according to the given data
00:25 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

The area of the rectangle below is equal to 36.

AE=14AB AE=\frac{1}{4}AB

363636333AAABBBDDDCCCEEE

Calculate the size of AE.

2

Step-by-step solution

The area of rectangle ABCD equals its length multiplied by its width.

Let's input the known data into the formula in order to find side AB:

36=3×AB 36=3\times AB

Now, let's divide both sides by 3:

AB=12 AB=12

Since we know that AE equals a quarter of AB, we can substitute the known data into the formula to calculate side AE:

AE=14AB=14×12=3 AE=\frac{1}{4}AB=\frac{1}{4}\times12=3

3

Final Answer

3

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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