1 The length of a rectangle is 4 times the width. The perimeter is 90 cm. Find the width and length.

width=9 cm

length =36cm

Step-by-step explanation:

let us suppose width of rectangle be x

then,length of rectangle =4x

given, perimeter of rectangle =90cm

we know that,

perimeter of rectangle=2(length + width)

90cm=2(4x+x)

or,90/2cm=5x

or,45cm=5x

or,(45/5)cm=x

or,x=9cm..

therefore ,width(x)=9 cm

and length (4x)=4*9=36cm

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