Question

the perimeter of a rectangle is 52cm.how long is each side if the width is 2cm more than one third of the length

Answer 1

Hey Mate,

Given,

Perimeter of the Rectangle = 52 cm = 2 ( Length + Breadth )

=> Width = ( 1/3 ) Length + 2

If we take Length to be "L" then,

=> 52 cm = 2 ( L + ( 1/3 ) L + 2 )

=> 52 cm = 2 ( ( 3/3 ) L + ( 1/3 ) L + 2 )

=> 52 cm = ( 8/3 ) L + 4

=> 52 - 4 cm = ( 8/3 ) L

=> 48 = ( 8/3 ) L

=> ( 48 ) / ( 8/3) = L

=> 144 / 8 = L

=> L = 18 cm

Now since, length = 18 cm, width = 8 cm ( Since, Width = ( 1/3 ) Length + 2)

Hope it Helps!

Answer 2

perimeter of rectangle = 2(l+b)
52cm. = 2 ( x+(1/3)x+ 2cm)
52 cm =. 2/3+2x
52cm - = 4/2x
48cm = 2x
48cm× 3 = 2x
144cm = 2x
144/2 = X
72cm = X

length = 48cm