Question

A rectangular yard has a​ width-to-length ratio of 2 font size decreased by 3 : font size decreased by 3 9. If the distance around the yard is 2200 ft​, what are the dimensions of the​ yard?

Answer 1

Answer:

The width of the yard will be = 200 ft

The length of the yard will be = 900 ft

Step-by-step explanation:

Given:

Ratio of width to length of a rectangular yard = 2 : 9

The distance around the yard = 2200 ft

To find the dimensions of the yard.

Solution:

Let the width of the rectangular yard be = $2x$

So, the length of the yard will be = $9x$

The perimeter of a rectangle is given as:

$P=2(l+w)$

where $l$ represents length and $w$ represents width of the rectangle.

Plugging in the given values of length and width of the yard.

$P=2(9x+2x)$

Simplifying.

$P=2(11x)$

$P=22x$

The perimeter given = 2200 ft.

Thus, the equation to find $x$ can be given as:

$22x=2200$

Dividing both sides by 22.

$\frac{22x}{22}=\frac{2200}{22}$

∴ $x=100$

The width of the yard will be = $2\times 100 = 200\ ft$

The length of the yard will be = $9\times 100 = 900\ ft$