Question

the length of a rectangular plot is twice the breadth. if the area of the rectangular plot is 450 sq m, then what is the breadth of the rectangular

Answer 1

Step-by-step explanation:

let the breadth be x

then length is 2x

area=l*b

450=2x*x

450=2xsquare

x square =450/2

xsquare=225

x = 15

b=15

l=15*2=30

Answer 2

AnswEr:-

Length = 30m and Breadth = 15 m

Step by Step Explanation:-

Given :-

The length of the rectangular plot is twice its breadth. The area of the rectangular plot is 450m².

To Find :-

The Breadth of the Rectangular Plot.

Explanation:-

• The length of the rectangular plot is twice its breadth.
• The area of the rectangular plot = 450m² .

$\rule{150}2$

Now, According to Question :-

Formula of Area of Rectangle,

$\longrightarrow\large\boxed{\sf{\red{ Area = Length \times\; Breadth}}}$

$\longrightarrow\sf\;</strong><strong> </strong>length = 2x\; m$

$\longrightarrow\sf\; Breadth = x m$

$\longrightarrow\sf\; 2x \times\; x = 450$

$\longrightarrow\sf\; 2x^2 = 450$

$\longrightarrow\sf\; x^2 = \dfrac{450}{2}$

$\longrightarrow\sf\; x^2 = 225$

$\longrightarrow\sf\; x = \sqrt{225}$

$\longrightarrow\sf\; x = 15\; m$

$\rule{150}2$

Thus, length of the rectangular plot = 2x.

Putting the value of x.

$\longrightarrow\sf\; 2(15)$

$\longrightarrow\large\boxed{\sf{\pink{Length = 30\; m}}}$

Breadth of the rectangular plot = x m.

$\longrightarrow\large\boxed{\sf{\pink{Breadth = 15\;m}}}$

$\rule{150}2$