Question

the area of retangularplot 2400 square meter and it's lenght is1and1/2timesto it's breath what is the perimeter​

Answer 1

Step-by-step explanation:

Dimensions of a Rectangular plot:

Breadth = b m

Length (l)= one and half times of breadth

= 3b/2 m

Area of the rectangular plot (A) = 2400 m² (given)

l \times b = 2400l×b=2400

\implies \frac{3b}{2} \times b = 2400⟹

2

3b

×b=2400

\implies b^{2}= \frac{2400\times 2}{3}⟹b

2

=

3

2400×2

\implies b^{2}= 800\times 2⟹b

2

=800×2

\implies b^{2}=1600⟹b

2

=1600

\implies b = \sqrt{1600}⟹b=

1600

\implies b = 40 \: m⟹b=40m

\begin{lgathered}Now, l = \frac{3b}{2}\\=\frac{3\times 40}{2}\\=3\times 20\\= 60\: m\end{lgathered}

Now,l=

2

3b

=

2

3×40

=3×20

=60m

Therefore,

\begin{lgathered}Perimeter \: the \: plot (P) = 2(l+b)\\=2(60+40)\\=2\times 100\: m \\= 200 \: m\end{lgathered}

Perimetertheplot(P)=2(l+b)

=2(60+40)

=2×100m

=200m

•••♪

Answer 2

Answer:

120root3

Step-by-step explanation:

let breadth be c

=>length=1/2x

Area=l×b

=1/2x×s

=1/2x^2

1/2x^2=2400

=>4800=x^2

=>x=40root3

Breadth=40root3

=>length=20root3

Perimeter=2(l+b)

2(20root3+40root3)

=120root3