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 Find the length of side BC
00:03 We'll use the formula for calculating rectangle area
00:07 side(AB) multiplied by side (BC)
00:11 Let's mark side BC as X
00:15 We'll substitute appropriate values in the formula and solve for X
00:23 And this is the solution to the problem

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 get:

x=6 x=6

Therefore:
BC=6 BC=6

Answer

6 cm