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.

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goodLizard goodLizard · Answer 1 · 2020-12-02T06:03:34+01:00

Answer:

Dimension of rectangle = 6 inches by 3 inches

Dimension of square = 3 inches by 3 inches

Step-by-step explanation:

Given information:

- Length of rectangle = [tex]6[/tex] 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 [tex]s[/tex] = 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:

[tex]6s=2s^2[/tex] (Area of rectangle is twice the area of square)

[tex]6=2s[/tex] (Divide [tex]s[/tex] on both sides)

[tex]s = 3[/tex] 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 :)