The length of a rectangle is represented by 3x +4, and its width is represented by 2x + 1. The
perimeter of the rectangle is 25 units. Find the value of x.

X=1.5

Step-by-step explanation:

Solution

Perimeter= 2(l+w)

25= 2( 3x+4 +2x+1)

25= 2(3x+2x+4+1)

25= 2(5x+5)

25= 10x+10

Now subtract 10 on both sides..

25-10= 10x+10-10

15=10x

Now divide 10 on both sides to get x

15/10= 10x/10

1.5=X

Answer

m a t h w a y. c o m

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm