Question

The perimeter of a rectangular plot is 120 m. It's length is 34 m. Find the breadth and area of the rectangular plot.

Answer 1

Answer:

2(34+x) = 120

74+2x = 120

2x = 120-74 = 66

x = 66/2 = 33

breadth = 33m

area = l×b = 34×33 = 1122m²

Answer 2

$\bf\blue{Question :}$

To find :

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

$\bf\red{Answer :}$

Given :

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

How to find : let's see,

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

Let Breadth be x,

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

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

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

$: \sf\implies2x = 120 - 68$

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

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

$\rm\ \: breadth = 26 \: m$

☯Let's see :

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

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

$: \implies\sf34 \times 26$

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

$\rm Area = 884 \: m²$

Did it!!