Question

the area of a room is 65 1/4 m square if it's breadth is 5 7/16 m then find its length​

Answer 1

We know that length × breadth = area

let the length of room be x

5 1/16 × x = 65 1/4

81/16 × x 261/4

x = 261 ×16 /4×81

x = 29 × 4 /9

x = 12 8/9

Answer 2

Given :-

• The area of room = $\rm\:65\dfrac{1}{4}$

• Breadth of room = $\rm\:5\dfrac{7}{16}$

To find :-

• Length of the room = ?

Solution :-

Let the length of the room be x

we know that,

Area of room = Length × breadth

$\rm\longrightarrow\:65\dfrac{1}{4}=x\times{5}\dfrac{7}{16}$

$\rm\longrightarrow\:\dfrac{261}{4}=x\times\dfrac{87}{16}$

$\rm\longrightarrow\:x=\dfrac{261}{4}\div\dfrac{87}{16}$

$\rm\longrightarrow\:x=\dfrac{261}{4}\times\dfrac{16}{87}$

$\rm\longrightarrow\:x=\cancel\dfrac{4176}{348}$

$\rm\longrightarrow\:x=12\:m$

Hence,the length of the room will be 12 m.

More Information :-

Formula Related to rectangle :-

• Area of rectangle = length × breadth
• Perimeter of rectangle = 2(l + b)
• diagonal of rectangle = √ l² + b²
• Length of rectangle = Area/breadth
• breadth of rectangle = Area/length