Question

The perimeter is rectangular garden is 480m if the ratio of length and breath is 3 :5. Find the dimension of the garden

Answer 1

Given :

• Perimeter of Field = 480 m
• Ratio of Dimensions = 3:5

To Find :

• Dimensions of the field = ?

SolutioN :

~ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Perimeter = 2 \bigg( Length + Breadth \bigg) }}}}}$

Here :

• Length = 5y
• Breadth = 3y

$\\ \qquad{\rule{150pt}{1pt}}$

~ Calculating the Value of y :

${\longmapsto{\qquad{\sf{ Perimeter = 2 \bigg( Length + Breadth \bigg) }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 480 = 2 \bigg( 5y + 3y \bigg) }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 480 = 2 \times 8y }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 480 = 16y }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \dfrac{480}{16} = y }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \cancel\dfrac{480}{16} = y }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\pmb{\purple{\frak{ y = 30 }}}}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

~ Calculating the Dimensions :

• Length = 5y = 5(30) = 150 m
• Breadth = 3y = 3(30) = 90 m

$\\ \qquad{\rule{150pt}{1pt}}$

~ Therefore :

❛❛ Length of the field is 150 m and its breadth is 90 m . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$

Answer 2

Given :-

⚫Perimeter of garden = 480 m

⚫Ratio of length and Breadth = 3 : 5

To Find :-

⚫Dimension of the garden

Formula Used her :-

⚫Perimeter of rectangle = 2(l+b)

Let the length = 3x

Let the Breadth = 5x

Perimeter of rectangle = 2(l+b)

‎ ‎ ‎ ‎ ‎➨ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎480m = 2(3x + 5x)

‎ ‎ ‎ ‎ ‎➨ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎480m = 2(8x)

‎ ‎ ‎ ‎ ‎➨ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎480m = 16x

‎ ‎ ‎ ‎ ‎➨ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎480/16 = x

‎ ‎ ‎ ‎ ‎➨ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 30 = x

Put the value of x = 30.

Length = 3(30) = 90m

Breath = 5(30) = 150m

Therefore the dimensions are :-

Length = 90m

Breath = 150m