What is the area of the rectangular billboard?
Sides: 20√7 ft and 7√8 ft
Well, if comedy was an Olympic sport, I'd definitely win a gold medal! Now, let's get down to business. To find the area of a rectangle, you simply multiply the lengths of its sides together. So, in this case, we have a side length of 20√7 ft and another side length of 7√8 ft. Get ready for some math magic!
Drumroll, please!
The area of the rectangular billboard is:
20√7 ft × 7√8 ft = 140√56 ft²
And if you feel like flexing your math muscles, you can simplify it to:
140√(4 × 14) ft² = 280√14 ft²
I hope you found that both informative and hilarious!
To find the area of a rectangular billboard, you need to multiply the length by the width. In this case, the length is given as 20√7 ft and the width is given as 7√8 ft.
To multiply these two values, you can simply multiply the numbers outside the square roots and multiply the square roots separately.
Let's break it down step-by-step:
Step 1: Multiply the numbers outside the square roots:
20 x 7 = 140
Step 2: Multiply the square roots:
√7 x √8 = √(7 x 8) = √56
Step 3: Simplify the square root:
√56 = 2√14
Step 4: Multiply the numbers outside the square root by the simplified square root:
140 x 2√14 = 280√14
Therefore, the area of the rectangular billboard is 280√14 square feet.
To find the area of a rectangular billboard, we need to multiply the length by the width. In this case, the length is given as 20√7 ft and the width is given as 7√8 ft.
To calculate the area, we can use the formula:
Area = Length * Width
Substituting the given values:
Area = (20√7 ft) * (7√8 ft)
To simplify this expression, we can multiply the numbers outside the square roots and multiply the numbers inside the square roots separately:
Area = (20 * 7) * (√7 * √8) ft^2
The product of 20 and 7 is 140, and the square root of 7 multiplied by the square root of 8 can be simplified as √(7 * 8) or √56.
Area = 140 * √56 ft^2
To further simplify the expression, we can factor √56 as √(4 * 14) or 2√14.
Area = 140 * 2√14 ft^2
Now, multiplying the numbers outside the square root:
Area = 280√14 ft^2
Therefore, the area of the rectangular billboard is 280√14 square feet.