Question

the side of a rectangular plot are in the ratio 3 : 4 the area of the plot is 432 square metre find its dimension​

Answer 1

Answer:

length - 18m

breadth - 24m

Step-by-step explanation:

as we don't know the exact dimensions let's take take the ratio and multiply it with X

=> area = L × B

let length be 3x

breadth be 4x

= 3x × 4x = 432 (given)

12x² = 432

x = 6

length = 3x = 3*6 = 18

breadth = 4x = 4*6 = 24

Answer 2

Answer:

$\huge{ \underline{ \large{ \rm{ \pink{Given:}}}}}$

• Ratios of Sides of rectangle plot are 3 : 4
• Area of plot is 432sqm

$\huge{ \underline{ \rm{ \red{ \large{}Find:}}}}$

• Find it's dimensions??

$\huge{ \underline{ \rm{ \green{ \large{Solution:}}}}}$

Let sides of rectangle plot are 3x and 4x

• ${ \boxed{ \sf{Area \: of \: rectangle = Length × Breadth}}}$

${ \implies{ \sf{432 = 3x \times 4x}}}$

$\: \: \: \:$

${ \implies{ \sf{12x² = 432}}}$

$\: \: \: \:$

${ \implies{ \sf{x² = \frac{432}{12} }}}$

$\: \: \:$

${ \implies{ \sf{x² = 36}}}$

$\: \: \:$

⇒ x = 6

⠀⠀⠀⠀⠀⠀⠀

Length = 3x = 3×6 = 18m

Breadth = 4x = 4×6 = 24m

⠀⠀⠀⠀⠀⠀⠀

Therefore,

• Dimensions of rectangular plot are 18m×24m