Question

if the perimeter of a garden is 24m and the width is 4m then what's the area​

Answer 1

Required Answer :

Area of the garden = 32 m²

Given :

• Perimeter of the garden = 24 m
• Width of the garden = 4 m

To find :

• Area of the garden = ?

Solution :

Using formula,

• Perimeter of rectangle = 2(l + w)

where,

• l denotes the length
• w denotes the width

Substituting the given values :

⇒ 24 = 2(l + 4)

⇒ 24/2 = l + 4

⇒ 12 = l + 4

⇒ 12 - 4 = l

⇒ 8 = l

Therefore, length of the garden = 8 m

Using formula,

• Area of rectangle = l × w

Substituting the given values :

⇒ Area = 8 × 4

⇒ Area = 32 m²

Therefore, area of the garden = 32 m²

Answer 2

To find : area of rectangle

Given : perimeter of garden = $24\ m$ , width = $4\ m$ .  

Solution :

• As per the given data we know that perimeter of garden is $24\ m$$24\ m$ and width is $4\ m$ , to find area of rectangle we need to find length of rectangle .
• We use following formula to find perimeter :
• Perimeter of circle = $2 ( l + b )$  

                                   $24 = 2 ( l + 4 ) \\24 = 2l + 8 \\2l =16 \\l =8$

• Therefore , length of rectangle garden is $8\ m$ .
• Now , area of garden = $l \times b$

                                            $= 8m \times 4m\\=32\ m^{2}$

Hence , area of rectangular garden is $32\ m^{2}$ .