Question

The perimeter of a park is 240 m. The length of the park is 40 m more than that of the breadth. By writting system.​

Answer 1

Step-by-step explanation:

let ,breadth equals to x

length=x+40

perimeter=2(x+x+40)

2(2x+40)=240

or,4x+80=240

or,4x=160

or,x=40

so the breadth=40m

and the length=80m

Answer 2

$\underline{\underline{\sf{\maltese\:\:Question}}}$

• The Perimeter of a Park is 240 m. The Length of the Park is 40 m more than that of the Breadth

$\underline{\underline{\sf{\maltese\:\:Given}}}$

• Perimeter of a Park = 240 m

• The Length of the Park is 40 m more than that of the Breadth

$\underline{\underline{\sf{\maltese\:\:To\:Find}}}$

• Length and Breadth of Park

$\underline{\underline{\sf{\maltese\:\:Answer}}}$

• Breadth of Park = 40 m
• Length of Park = 80 m

$\underline{\underline{\sf{\maltese\:\:Diagram}}}$

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 80 m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 40 m}\put(-0.5,-0.4){\bf }\put(-0.5,3.2){\bf }\put(5.3,-0.4){\bf }\put(5.3,3.2){\bf }\end{picture}$

$\underline{\underline{\sf{\maltese\:\:Calculations}}}$

Perimeter of a Park = 240 m

Perimeter of Rectangle = 2 × (Length + Breadth)

⇒ 2 × (Length + Breadth) = 240 m

Substitute The Values of Length and Breadth

⇒ 2 × [(x + 40 m) + x)] = 240 m

⇒ 2 × [x + 40 m + x)] = 240 m

⇒ 2 × [2x + 40 m] = 240 m

Apply Distributive Law : a × (b + c) = ab + ac

⇒ 4x + 80 m = 240 m

Subtract 80 m from Both Sides

⇒ 4x + 80 m - 80 m = 240 m - 80 m

⇒ 4x = 160 m

Dividing Both Sides By 4

⇒ 4x/4 = 160 m/4

⇒ x = 40 m

From This We get :

• Breadth = x = 40 m
• Length = x + 40 m = 40 m + 40 m = 80 m

$\underline{\underline{\sf{\maltese\:\:Verification}}}$

Perimeter of Rectangle = 2 × (Length + Breadth)

Substitute The Values of Length and Breadth

⇒ Perimeter of Rectangle = 2 × (80 m + 40 m)

Given Perimeter of a Park = 240 m

⇒ 240 m = 2 × (80 m + 40 m)

⇒ 240 m = 2 × (120 m)

⇒ 240 m = 240 m

• As Both Sides are Equal, Our Answer is Correct

_______________________________

Request :

If there is any difficulty viewing this answer in app, Kindly see this answer at Web (https://brainly.in/) for clear steps and understanding.

See the answer at :

https://brainly.in/question/31702893