Question

A rectangle has an area of 900square inches. The length of the rectangle is 2.25 times the width.Fond the dimy of the triangle.​

Answer 1

The dimensions are length 45 inches and width 20 inches.

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
`x`.

And the length be
`2.25x`.

So, putting the formula to get the dimensions:

`Area=length* width`

`900=2.25x* x`

`900=2.25x^2`

Dividing both sides by 2.25 we get:

`400 =x^2`

Using square root both sides we get:

`20=x`

Length = 2.25×20= 45 inches.

Width = 20 inches.

Therefore, the dimensions are length 45 inches and width 20 inches.