Question

perimeter of rectangle is 2 metre less than 2/5 of the perimeter of a square if the perimeter of the square is 40 metre find the length and breadth of rectangle given that the breadth is 1/3 of the length​

Answer 1

perimeter of the square = 40 m

then, the perimeter of rectangle = (2÷5×40)−2

=(16 - 2)m

=14m

let length of the rectangle be x

then breadth of the rectangle = x÷3

the perimeter of rectangle = 2(x+x÷3)

= 2 ×(4x÷3)

= 8x ÷3

According to question,

8x÷3 = 14

8x =14×3

x =42÷8 =5.25 m

length = 5.25 m

breadth = (5.25÷3) m

= 1.75 m

Answer.................