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

Question

The area of the rectangle below is equal to 36.

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

Calculate the size of AE.

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

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:

$36=3\times AB$

Now, let's divide both sides by 3:

$AB=12$

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

$AE=\frac{1}{4}AB=\frac{1}{4}\times12=3$