Question

The perimeter of a, rectangular plot is 120 m. Its length is 34 m. Find the breadth and area of the rectangular plot
​

Answer 1

Step-by-step explanation:

perimeter of plot = 120 m

length = 34 m

formula of perimeter = 2 ( l + b )

120 = 2 ( 34 + b )

120 / 2 = 34+ b

60 - 34 = b

26 = b

area of reactangular plot = l × b = 34 × 26

= 884 m ^ 2

Answer 2

$\bf{Solution :}$

To find :

• Breadth and area of rectangle.
• Breadth ?
• Area ?

Given :

• Perimeter of rectangular plot = 120 m
• Length = 34

How to find : let's see,

$\bf{\underline{\underline{perimeter \: of \: rectangle = 2 \times( l + b)}}}$

Let Breadth be x,

$\sf : \implies 2 \times (34 + x) = 120$

$: \implies\sf \:2 \times 34 + 2 x = 120$

$: \sf\implies68 + 2x = 120$

$: \sf\implies2x = 120 - 68$

$: \implies\sf \: 2x = 52$

$: \sf\implies \: x = \frac{52}{2} = 26$

$\bf\ \: breadth = 26 \: m$

☯Let's Verify :

$\implies\sf2 \times( l + b) \\ \implies\sf2 \times( 34 + 26) \\ \implies\sf2 \times 60 \\ \sf\implies120 \: m$

$\bf{\underline{\underline{area \: of \: rectangle \: = l \times b}}}$

$: \implies\sf34 \times 26$

$: \implies\sf884 \: {m}^{2}$

$\bf Area = 884 m²$

Hence solVed!!