the area of a room is 65 1/4m² .if its breadth is 5 7/6m ,what is it’s length​

2 thoughts on “the area of a room is 65 1/4m² .if its breadth is 5 7/6m ,what is it’s length​”

1. [tex]\rm\red{ANSWER\:❣}[/tex]

   _______________________

   [tex]\tt\begin{gathered} let \: breadth \: be \: x \\ then \: the \: length \: will \: be \: (x + 4) \\ area \: of \: rectange = l \times b \\ l = (x + 4) = {x}^{2} + 4x \\ b = (x – 4) \\ (x – 4)(x + 10) \\ x(x + 10) – 4(x + 40) \\ ( {x}^{2} + 10x)( – 4x – 40) \\ {x}^{2} + (10x – 4x) – 40 \\ {x}^{2} + 6x – 40 \\ therefore \: {x}^{2} + 4x = {x}^{2} + 6x – 40 \\ 4x = 6x – 40 \\ 6x – 4x = 40 – 2x = 40 \\ x = \frac{40}{2} \\ breadth = 20m \\ length = 24m \\ area = l \times b \\ = (20 \times 24) {m}^{2} \\ = 480 {m}^{2} \end{gathered}[/tex]

   Reply

2. Correct Question:

   • The area of a room is 65 1/4m² . If it’s breadth is 5 7/16m.what is it’s length

   Answer :

   • Length of room is 12m

   Given :

   • Area of room is 65 1/4 m²
   • Breadth of room is 5 7/16m

   To find :

   • Length of room

   Solution :

   》Area of room = 65 1/4 m²

   》4(65) + 1 / 4

   》261/4 m

   Area of room is 261/4 m

   》Breadth of room is 5 7/16 m

   》16(5) + 7 / 16

   》87/16 m

   Breadth of room is 87/16m

   Now , we have to find the length of room

   • Let the length be l

   As we know that,

   • Area of room = l × b

   Where , l is length and b is breadth

   》Area of room = l × b

   》261/4 = l × 87/16

   》l = 261/4 × 87/16

   》l = 12m

   Hence , Length of room is 12m

   Reply