Question

Bosco wishes to start a 200 m2 rectangular vegetable garden. Since he has only 50 m barbed wire, he fences three sides of the rectangular garden letting his house compound wall act as the fourth side of the fence. Find the dimensions of the garden.

Answer 1

QUESTION :-

Bosco wishes to start a 200 m2 rectangular vegetable garden. Since he has only 50 m barbed wire, he fences three sides of the rectangular garden letting his house compound wall act as the fourth side of the fence. Find the dimensions of the garden.

ANSWER:-

_________________________

• DIMENSION TO RECTANGULAR VEGETABLE GARDEN,

LENGTH= L m.

BASE= B m.

Length of the barbed wire = 50m

According to the problem given,

=>l+b+l=50m.

=>.°.2l+b=50

=>.°.b=50-2l............(1)

_________________________

•AREA OF THE GARDEN:- 200m².

=>l b =200m²

=>l(50-2l)=200............(from 1)

=>.°.50L -l2²=200

Divide each term by 2, we get

25L- L²=100

=>.°.25L- L²+100=0

=>l²-20l -5l +100=0

=>l(l-20)-5(l-20)=0

=>.°.(l-20)=0 or (l-5)=0

=>.°. L =20 & L=5.

_________________________

Case 1:

If l = 20, then b = 50-2l

=> b = 50 - 40 = 10,

Case 2:

If l = 5 ,then b = 50-2l

=> b = 50 - 10 = 40,

Therefore,

Dimensions of the garden are (20,10) Or (5,40)

_________________________

Answer 2

☆Hey!

$\huge\color{red}{See\:the\: attachment\: please}$