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

Question

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?

Video Solution

Solution Steps

00:00 Determine the length of the side BC
00:03 Apply the formula for calculating the area of a rectangle
00:07 Side(AB) x by side (BC)
00:11 Mark side BC as X
00:15 Substitute the relevant values into the formula and proceed to solve for X
00:23 This is the solution

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

Answer

6 cm