Question

1. multiple choice find the area of the rectangle. 2√14 √7 f 7√2 g 14 h 14√2 j 98√2 solve each equation. check your solution. 11. √10x = 20 12. √4x - 3 = 6 - x 13. packaging a cylindrical container of chocolate drink mix has a volume of about 162 in³. the radius of the container can be found by using formula r = √(v/πh), where r is the radius and h the height. if the height is 8.25 inches, find the radius of the container.

Explanation:

Step1: Recall area formula for rectangle

The area formula of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $l = 2\sqrt{14}$ and $w=\sqrt{7}$.

Step2: Substitute values into formula

$A=(2\sqrt{14})\times\sqrt{7}$.

Step3: Simplify the product

Using the property $\sqrt{a}\times\sqrt{b}=\sqrt{ab}$, we have $A = 2\sqrt{14\times7}=2\sqrt{98}=2\sqrt{49\times2}=2\times7\sqrt{2}=14\sqrt{2}$.

Answer:

H. $14\sqrt{2}$