Arectangle's perimeter and its area have the same numerical value. the width of the rectangle is 3 units. what is the length of the rectangle in units?

We are being informed that the perimeter of a rectangle and its area have the same numerical value.

Thus,

We knew that the perimeter of a rectangle = 2 (L + B), and;

The Area of a rectangle = (L × B)

If the width of the rectangle = 3 units

If we equate the perimeter of the rectangle and the area of the rectangle to we can determine the length of the rectangle.

So;

2 (L + W) = ( L × W)

2 ( L + 3) = ( L × 3)

6 + 2L = 3L

6 = 3L - 2L

L = 6

In conclusion, the length of the rectangle = 6 units

Learn more about the perimeter of the rectangle here:

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Formula

2*(L + W) = L * W

Given

W = 3

Solution

2*(L + 3) = 3*L

2L+ 6 = 3L                      Subtract 2L from both sides

2L - 2L + 6 = 3L - 2L      combine

6 = L

The length is 6 units long.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.