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

Question

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

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

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

$64=4x\times x$

$64=4x^2$

Next we will divide both sides by 4:

$16=x^2$

And we will remove the square root:

$4=x$

Therefore, BC equals 4.