Answer:
The dimensions are length 45 inches and width 20 inches.
Step-by-step explanation:
Given:
A rectangle has an area of 900 square inches.
The length of the rectangle is 2.25 times the width.
Now, to find the dimensions of rectangle.
Let the width be [tex]x[/tex].
And the length be [tex]2.25x[/tex].
So, putting the formula to get the dimensions:
[tex]Area=length\times width[/tex]
[tex]900=2.25x\times x[/tex]
[tex]900=2.25x^2[/tex]
Dividing both sides by 2.25 we get:
[tex]400 =x^2[/tex]
Using square root both sides we get:
[tex]20=x[/tex]
Length = 2.25×20= 45 inches.
Width = 20 inches.
Therefore, the dimensions are length 45 inches and width 20 inches.
