Question

find the length of rectangle if area is 650m² breadth is 13 cm​

Answer 1

Answer:

50cm

Step-by-step explanation:

area = 650 cm^2

breath=13 cm

length=?

let length be x cm ,

therefore x * 13 = 650

x=650/13

x=50 cm

hence, length of rectangle is 50cm

Answer 2

DIAGRAM :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large l cm}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 13cm }\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

$\bold{Given}\begin{cases} \sf \: Breadth \: of \: a \: rectangle \: is \: \bold{13 \: m}. \\ \\ \sf \: Area \: of \: the \: rectangle \: is \: \bold{650 \: {m}^{2}}. \end{cases}$

$\: \: \:$

Need to find : Length of the rectangle.

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀____________________

Here, area of the rectangle and length of the rectangle is given as 13cm and 650cm². We'll put the values of area of the rectangle and length of the rectangle in the area of the rectangle formula and then, we'll get the value of breadth of the rectangle.

$\: \:$

For finding the area of the rectangle, formula is given as :

$\: \:$

$\star\underline{\boxed{\sf\pink{Area_{(rectangle)} = l \times b}}}$

$\: \:$

❍ Where, l denotes length of the rectangle and b denotes breadth of the rectangle.

$\:$

$\sf:\implies \: Area_{(rectangle)} = l \times b \\ \\ \\ \sf:\implies \: 650 = l \times 13 \\ \\ \\ \sf:\implies \: l = \cancel\frac{650}{13} \\ \\ \\ \sf:\implies \: \underline{\boxed{\mathfrak\purple{l = 50m}}} \: \bigstar \\ \\ \\ \\ \sf\therefore{\underline{Hence, \: the \: length \: of \: the \: rectangle \: is \: \bold{50 m}.}}$