Question

the perimeter of a rectangular Garden is 160 m.if it is 10 M wide find its area​

Answer 1

$\huge\mathbb{SOLUTION:-}$

• We have to find the Area if garden

$\bf\underline{\underline{Step\:By\:Step\: Explanation:-}}$

$\boxed{\sf{Perimeter=2(l+b)}}$

• Find the length of garden :-

$\sf\implies 2(L+10)=160m\\ \\ \sf\implies 2length+20=160\\ \\ \sf\implies 2L=160-20\\ \\ \sf\implies 2L=140\\ \\ \sf\implies length=\cancel{\frac{140}{2}}=70\\ \\ \sf\implies length=70m$

• The length of garden is 70m

• breadth =10m

• Now the area of garden

$\boxed{\sf{Area\:of\: rectangle=length\:times breadth}}$

$\sf\implies Area\:of\: garden=70\times 10\\ \\ \sf\implies Area\:of\:Garden=700m{}^{2}$

$\boxed{\sf{Area\:of\:Garden=700m{}^{2}}}$

Answer 2

Answer:

Area of Rectangular Park = 700m²

Step-by-step explanation:

We Have :-

Perimeter of Rectangular garden = 160m

Breadth = 10m

To Find :-

Area

Formula Used :-

Perimeter = 2 ( Length + Breadth )

Area = Length * Breadth

Solution :-

Perimeter = 2 ( Length + 10 )

160 = 2 ( Length + 10 )

80 = Length + 10

Length = 70 m

Area = Length * Breadth

= 70 * 10

= 700 m²

Area of Rectangular Park = 700 m²