Question

The ratio of length and breadth of rectangle 3:2 it's area is 150 cm square find its perimeter​

Answer 1

Answer:

ratio of l and b =3:2

area=150 cm

let length=3x

let breadth =2x

area = l*b

area=3x*2x

area=6x²

150=6x²

150/6=x²

25=X²

x=√25

x=5

length=3(5)=15, 2(5)= 10

so perimeter =2(l+b)

2(15+10) =50cm

Step-by-step explanation:

here is your answer

Answer 2

$\huge{\red{\overbrace{\underbrace{\mathfrak{\purple{Answer::}}}}}}$

$\bf{\blue{\underline{Given-}}}$

• Ratio of length and breadth => 3:2
• Area of rectangle => 150 cm²

$\bf{\blue{\underline{Steps-}}}$

$let\:the\:common\:multiple\:be\:x$

==||> Area of rectangle = l x b

==||>                  3$x$ x 2$x$ = 150

==||>                          5$x$ = 150

==||>                             $x$ = $\dfrac{150}{5}$

==||>                             $x$ = 30 cm

Length = 3$x$ = 3 x 30 = 90 cm

Breadth = 2$x$ = 2 x 30 = 60 cm

==||> Perimeter = 2(l + b)

==||> 2(90 + 60)

==||> 2 x 150

==||> 300 cm

∴ the perimeter will be 300 cm.

Hope it helps...