Question

a wire of length 126 centimetre is bent in the from of a rectangle such that its length is 11cm more than its breath. find the length and breadth of the rectangle so formed​

Answer 1

Diagram:-

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

$\sf Given\begin{cases}Length\:of\:wire=126\:cm\end{cases}$

To find:-

• Length and breadth of the rectangle which is made from the wire .

Solution:-

Let the breadth be x cm .

Then, length= (x+11) cm

According to the question ,

${:}\longrightarrow$$\sf x+(x+11)=126$

${:}\longrightarrow$$\sf 2x+11=126$

${:}\longrightarrow$$\sf 2x=126-11$

${:}\longrightarrow$$\sf 2x=115$

${:}\longrightarrow$$\sf x={\dfrac {115}{2}}$

${:}\longrightarrow$$\bf x=57.5\:cm$

• Length= x+11=57.5+11= 68.5 cm

• Breadth= x = 57.5 cm

Answer 2

Answer:

Length = 37 cm

Length = 37 cmBreadth = 26 cm

Step-by-step explanation:

Let the breadth(b) be x cm

Let the breadth(b) be x cmSo, length(l) = x+11 cm

Let the breadth(b) be x cmSo, length(l) = x+11 cmWe know that, 2(l+b) = 126

Let the breadth(b) be x cmSo, length(l) = x+11 cmWe know that, 2(l+b) = 126So, 2×(x+11+x) = 126

Let the breadth(b) be x cmSo, length(l) = x+11 cmWe know that, 2(l+b) = 126So, 2×(x+11+x) = 126=> 2x+11 = 63

Let the breadth(b) be x cmSo, length(l) = x+11 cmWe know that, 2(l+b) = 126So, 2×(x+11+x) = 126=> 2x+11 = 63=> 2x = 52

Let the breadth(b) be x cmSo, length(l) = x+11 cmWe know that, 2(l+b) = 126So, 2×(x+11+x) = 126=> 2x+11 = 63=> 2x = 52=> x = 26

Let the breadth(b) be x cmSo, length(l) = x+11 cmWe know that, 2(l+b) = 126So, 2×(x+11+x) = 126=> 2x+11 = 63=> 2x = 52=> x = 26So, length = 37 cm

Let the breadth(b) be x cmSo, length(l) = x+11 cmWe know that, 2(l+b) = 126So, 2×(x+11+x) = 126=> 2x+11 = 63=> 2x = 52=> x = 26So, length = 37 cmand breadth = 26 cm