the ratio of the length to the width of a rectangle is 10:6. if the perimeter of the rectangle is 160 meters, find the measure of the width.

Given:

The ratio of the length to the width of a rectangle is 10:6.

Perimeter = 160 meters

To find:

The measure of the width.

Solution:

Let the length and width of the rectangle be 10x and 6x respectively.

Perimeter of a rectangle is

where, l is length and w is width.

Putting P=160, l=10x and w=6x, we get

Divide both sides by 32.

Now,

Therefore, the width of the rectangle is 30 meters.

its the fourth option

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180