The perimeter of a rectangular atrium is 220 inches. the length of the atrium is four times the width. find the length and the width.

The length of the rectangular atrium is 88 inches and the width is 22 inches

Step-by-step explanation:

Let

x ----> the length of the rectangular atrium

y ----> the width of the rectangular atrium

we know that

The perimeter of the rectangular atrium is

so

Simplify

----> equation A

-----> equation B

substitute equation B in equation A and solve for y

Divide by 5 both sides

Find the value of x

therefore

The length of the rectangular atrium is 88 inches and the width is 22 inches

Width of atrium = 22 inches

Length of atrium = 88 inches.

Step-by-step explanation:

Given :  The length of the atrium is four times the width.

Let w be the width of atrium , then its length will be l= 4w.

Formula to find perimeter:-

Since, The perimeter of a rectangular atrium is 220 inches.

Then, we have

Width of atrium = 22 inches

Length of atrium = 4(22)=88 inches.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180