Question

The area of a rectangle is twice the area of a square. If the rectangle is 6 inches long, and the width of the rectangle is the same as the length of a side of the square, find the dimensions of both the rectangle and the square.

Answer 1

Dimension of rectangle = 6 inches by 3 inches

Dimension of square = 3 inches by 3 inches

Explanation:

Given information:

- Length of rectangle =
`6` inches.

- Width of rectangle is the same as the side length of square.

- Area of rectangle is twice the area of square

Variable to define:

Let
`s` = side length of the square and the width of the rectangle

Finding dimensions of rectangle and square:

From the information given, we can write the equation:

`6s=2s^2` (Area of rectangle is twice the area of square)

`6=2s` (Divide
`s` on both sides)

`s = 3` inches

Dimension of rectangle = length by width

= 6 inches by 3 inches

Dimension of square = side by side

= 3 inches by 3 inches

Hope this helps :)