Question

The perimeter of a rectangular plot is 156 m and its breadth is 34m find its length and area

Answer 1

Hello there ! In the question it is given that the perimeter of rectangular plot is 156 m. There is a formula for the perimeter of rectangular shaped thing, $\boxed{\text{Perimeter of rectangular shaped body = 2( length + breadth )}}$ .

From the formula given above,

156 m = 2( length of the rectangle + breadth of the rectangle )

156 m / 2 = ( length of the rectangle + breadth of the rectangle )

Given in the question, breadth of the rectangular plot is 34 m.

∴ 78 m = ( length of the rectangle + 34 m )

78 m - 34 m = length of the rectangle

44 m = length of the rectangle

Again there is a important formula, $\boxed{\text{Area of rectangle = length x breadth }}$

So,

∴ Area of this rectangular plot = length x breadth

Area of this rectangular plot = 44 m x 34 m

Area of this rectangular plot = 1496 m^2

Answer 2

Given :

Perimeter of the Rectangle = 156 m

Breadth = 34 m

Finding Length of the Rectangle -

L = Length , B = Breadth .

Perimeter of the Rectangle = 2 (L + B)

156 = 2(L + 34)

156 = 2L + 68

2L = 156 - 68

2L = 88

L = 88 ÷ 2

L = 44

So, Length = 44 m .

Finding Area of the Rectangle -

Area of the Rectangle = Length x Breadth

Area = 44 x 34

$Area \: = 1496 \: {m}^{2}$

Hence :

$\bold{Length \: = \: 44 \: m}$

$\bold{Area \: = \: 1496 \: m^2}$