A square has sides measuring 6 cm long. Another square has sides measuring 3 cm less than those of the previous square. Calculate the area of the new square.
We have hundreds of course questions with personalized recommendations + Account 100% premium
A square has sides measuring 6 cm long. Another square has sides measuring 3 cm less than those of the previous square. Calculate the area of the new square.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The original square has sides measuring 6 cm.
Step 2: The new square has sides measuring cm.
Step 3: The area of the new square is calculated using the formula .
Thus, the new area is .
Therefore, the solution to the problem is .
9
Which of the following is equivalent to the expression below?
\( \)\( 10,000^1 \)
Always subtract from the side length first! The problem says "3 cm less than those of the previous square," referring to the sides, not the area. So: 6 - 3 = 3 cm, then find area.
Because area doesn't work that way! When you change the side length, the area changes exponentially (by squaring). The new area is , not 36 - 3 = 33.
Huge difference! 36 - 3 = 33 (wrong method), but (correct method). Always work with the side length first, then square it.
Think: sides first, then square!
Not really - you need both steps! But remember: when the side changes, the area changes by the square of that change. So always calculate the new side length carefully first.
Get unlimited access to all 18 Powers and Roots - Basic questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime