The perimeter of a rectangle is twice the sum of its length and its width. the perimeter is 28 meters and its length is 2 meters more than twice it’s width.

what is it’s length ?

The perimeter of the rectangle

=

28

meters.

Let the width be denoted as

x

,

The length

=

2

+

2

×

(

x

)

=

2

+

2

x

(length is 2 meters more than twice the width)

The formula for perimeter of a rectangle is :

perimeter =

2

×

( width + length )

28

=

2

×

(

x

+

2

+

2

x

)

28

=

2

×

(

3

x

+

2

)

28

=

2

×

(

3

x

)

+

2

×

(

2

)

28

=

6

x

+

4

6

x

=

28

−

4

6

x

=

24

x

=

24

6

The width

x

=

4

meters.

The lenght

2

+

2

x

=

2

+

2

×

4

=

2

+

8

=

10

meters.

50=33x+22

step-by-step explanation:

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°