Question

Plzzzzz solve this problem with the question

Answer 1

Given

Length (l) = 4 + breadth (b)

L = 4+b .. eq (1)

A.T.Q.

1/2 × 2(l+b) = 36m

L + b = 36

From eq 1

4 + b + b = 36

2b = 32

B = 16 m

Therefore , L = 4 + b = 4+ 16 = 20 m

Answer 2

let the length of rectangular Garden be X metre and let the breadth of a rectangular Garden be Y.

given half perimeter of a rectangular Garden is 36 m.

1/2(2(length+ breadth)=36

or,(x+y)=36

x+y-36=0 ......(1)

also length is 4m more than its width

(Length)=4 + (breadth)

or,x = 4+(y)

x-y-4=0 ......(2)

solving (1).....

x+y-36=0

y=36-x.

condition 1 [ x =12 and 16

y=36-x =24 and 20]

let x=12

y=36-12

y=24

【so x =12 and Y =24 is a solution ie..,(12,24) is a solution】

let x=16

y=36-16

y=20

【 so x =16 and Y =20 is a solution ie..,(16,20) is a solution】

solving (2).......

x - y - 4=0

y=x - 4 condition 2 [ x =0 and 4

y=x-4=-4 and 0]

let x=0

y=0-4

y=-4

【 so x =0 and Y =-4 is a solution ie.., (0 ,-4) is a solution 】

let x=4

y=4-4

y=0

【so x =4 and y=0 is a solution ie..,(4,0) is a solution】

taking condition 1 and condition 2

{ we will plot both equations on the graph }

the equation intersect at (20, 16)

so the solution of our equation is (20,16)

length of Garden= x = 20m

bread of Garden = y =16m

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