Calculate Rectangle Area: Using Given Dimensions 8 and 17

Look at the following rectangle:

AAABBBCCCDDD178

BC = 8

BD = 17

Calculate the area of the rectangle ABCD.

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the following rectangle:

AAABBBCCCDDD178

BC = 8

BD = 17

Calculate the area of the rectangle ABCD.

2

Step-by-step solution

We will find side DC by using the Pythagorean theorem in triangle DBC:

BC2+CD2=BD2 BC^2+CD^2=BD^2

Let's substitute the known data:

82+CD2=172 8^2+CD^2=17^2

CD2=289−64=225 CD^2=289-64=225

Let's take the square root:

CD=15 CD=15

Now we have the length and width of rectangle ABCD and we'll calculate the area:

15×8=120 15\times8=120

3

Final Answer

120

Practice Quiz

Test your knowledge with interactive questions

Consider a right-angled triangle, AB = 8 cm and AC = 6 cm.
Calculate the length of side BC.

666888BBBCCCAAA

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Pythagorean Theorem 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

More Questions

Click on any question to see the complete solution with step-by-step explanations

Using the Pythagorean Theorem

Calculate Rectangle Diagonal Segment BO: Given AB=8 and AD=6
Click to solve
Calculate Triangle Area: Finding BCD with Side Lengths 12 and 13
Click to solve

Area of a Rectangle

Rectangle Diagonal Problem: Calculate Triangle Area with BO = 8.5 and AD = 8
Click to solve
Solve for X: Rectangle Area x²-13 with Dimensions (x-4) and (x+1)
Click to solve