Question

The length and breadth of a rectangular Park are in the ratio 4:3 and it's perimeter is 126. Find the area of the park

Answer 1

Answer:

36 and 27

Step-by-step explanation:

let the length and bredth be x m

so ratio is 4:3

length=4x and bredth=3x

then perimeter=2(l+b)

so 2(4x+3x)=126

7x=126/2

7x=63

x=9

length=4×9=36m

bredth=3×9=27m

Answer 2

$\mathfrak{\huge{\underline{Answer:}}}$

Let the Length Of Park be 4x and Breadth be 3x

[Perimeter of Rectangle = 2(l+b)]

Given Perimeter = 126 cm

$\textbf{\underline{\underline{According\:To\:Question :}}}$

$\sf \implies \: Perimeter = 2(l + b)$

$\sf \implies \: 126 = 2(4x + 3x)$

$\sf \implies \: \dfrac{126}{2} = 7x$

$\sf \implies \: 63 = 7x$

$\sf \implies \: x = \dfrac{63}{7}$

$\sf \implies \: x = 9\: cm$

Hence,

Length = 9× 4 = 36 cm

Breadth = 9 × 3 = 27 cm

$\textbf{\underline{\underline{To\:Find\:Area :}}}$

$\sf \: Area = Length \times Breadth$

$\sf \: Area =( 36 \times 27)cm$

$\boxed{\boxed{Area=\: 972\: cm^2}}$