What is the area of the rectangle with the width of 6x^2 and the length of 12x^3? hint: x=5
I got 6*5^2=900; 12*5^3=216,000 for a total of 216,900 is that correct?
If it is wrong can you show me how to do them? THANKS
6 * 5^2 = 6 * 25 = 600/4 = 150
12* 5^3 = 12 * 125 = 1500
1500 * 150 = 225,000
thank you so basically i forgot to do it in order
I guess. There are lots of ways to do it actually.
oh ok thanks anyways
To find the area of a rectangle, you multiply the length by the width. In this case, the width is 6x^2 and the length is 12x^3.
To calculate the area, you need to substitute the value of x (which is given as 5) into the expressions for the width and the length.
First, let's calculate the width:
Width = 6x^2
Substituting x=5:
Width = 6(5^2) = 6(25) = 150
Now, let's calculate the length:
Length = 12x^3
Substituting x=5:
Length = 12(5^3) = 12(125) = 1500
Now, we can find the area by multiplying the width and length:
Area = Width × Length = 150 × 1500 = 225,000
So, the correct answer is 225,000, not 216,900.
Remember to perform the calculations step by step, and make sure to carefully substitute the given value of x into each expression.