Length of a rectangle exceeds its breadth by 3 meter. If its perimeter

1.	Length of a rectangle exceeds its breadth by 3 meter. If its perimeter is 54 meter then find its length and breadth.
Answer» Let the breadth of rectangle be x metre. ∴ Length of rectangle = (3 + x) metre ∵ Perimeter = 2 (L + B) ∴ Perimeter = 2{(3 + x) + x} = 2(2x + 3) m According to question, 2(2x + 3) = 54 Therefore 2x + 3 = 54/2 2x + 3 = 27 2x = 27 – 3 = 24 x = 24/2 = 12 Hence the breadth of rectangle =12 meter and length of rectangle = 12 + 3 = 15 meter

Length of a rectangle exceeds its breadth by 3 meter. If its perimeter is 54 meter then find its length and breadth.

Answer»

Let the breadth of rectangle be x metre.

∴ Length of rectangle = (3 + x) metre

∵ Perimeter = 2 (L + B)

∴ Perimeter = 2{(3 + x) + x}

= 2(2x + 3) m

According to question,

2(2x + 3) = 54

Therefore 2x + 3 = 54/2

2x + 3 = 27

2x = 27 – 3 = 24

x = 24/2 = 12

Hence the breadth of rectangle =12 meter and length of rectangle = 12 + 3 = 15 meter