Question

If the length of a rectangular plot is 4 metres more than its breadth.If the perimeter of a plot is 160 metres. Find the dimensions of a plot .​

Answer 1

Answer:

Dimensions of a plot are 38 and 42 m.

Step-by-step explanation:

Let breadth rectangular plot be "x" m.

Length of a rectangular plot is 4 more than it's breadth.

So,

Length = (x + 4) m

Also, given that perimeter of rectangular plot is 160 m.

Perimeter of rectangle = 2(l + b)

Substitute the known values in above formula,

⇒ 160 = 2(x + 4 + x)

⇒ 160 = 2(2x + 4)

⇒ 160 = 4x + 8

⇒ 4x = 160 - 8

⇒ 4x = 152

⇒ x = 152/4

⇒ x = 38

So,

Length of rectangular plot = x + 4

⇒ 38 + 4

⇒ 42 m

Breadth of rectangular plot = x

⇒ 38 m

∴ Dimensions of a plot are 38 and 42 m.

Answer 2

$\huge{\mathfrak{\underline{\pink{AnSwEr:-}}}}$

Length = 42 m

Breadth = 38 m

$\huge{\mathfrak{\underline{\blue{Explanation:-}}}}$

Given :-

Length is 4m more than breadth

Perimeter = 160 m

____________________________

To Find :-

Dimensions of the plot

___________________________

Solution :-

Let the breadth be "b" .

A.TQ,

Breadth = b m

Length = (b + 4) m

__________________

We have formula :-

$\bf{\LARGE{\star{\boxed{\boxed{\orange{Perimeter \; = \; 2(l+b)}}}}}}$

_________________[Put Values]

⇒ 160 = 2(b + b + 4)

⇒ 160 = 2(2b + 4)

⇒ 160 = 4b + 8

⇒160 -8 = 4b

⇒ 152 = 4b

⇒ b = 152/4

⇒ 38 m

$\large{\underline{\boxed{\green{Breadth \; = \; 38 \; m}}}}$

And

Length = b + 4

⇒ Length = 38 + 4

⇒ Length = 42 m

$\large{\underline{\boxed{\green{Length \; = \; 42 \; m}}}}$

$\rule{200}{4}$

$\huge{\mathfrak{\underline{\pink{Verification:-}}}}$

Perimeter = 2(l + b)

________[Put Values]

⇒ 160 = 2(38 + 42)

⇒ 160 = 2(80)

⇒160 = 160