Calculate Rectangle Side Length: Given Area 42 cm² and Height 12 cm

Question

Below is the rectangle ABCD.

It has an area of 42 cm² and side AD is equal to 12 cm.

What is the length of side DC?
S=42S=42S=42121212AAABBBCCCDDD

Video Solution

Solution Steps

00:00 Find side DC
00:03 We'll use the formula for calculating rectangle area (side times side)
00:09 We'll substitute appropriate values according to the given data and solve for DC
00:12 We'll isolate DC
00:16 And this is the solution to the problem

Step-by-Step Solution

Remember that to calculate the area of the rectangle, we multiply the length by the width.

Therefore:

42=12×CD 42=12\times CD

42=12CD 42=12CD

Divide both sides by 12:

3.5=CD 3.5=CD

Answer

3.5