Question

half the perimeter of a rectangle garden is 36cm if the length is 4more than its width find the dimension of the garden​

Answer 1

Answer:

• Half Perimeter = 36 cm
• Length = 4 cm more than Width

Let the Width of the Garden be n.

☢ Perimeter of the Garden :

↠ Perimeter = 2(Length + Width)

• Length = (4 + width)

↠ 2(36 cm) = 2[(4 + Width) + n]

• Dividing both term by 2

↠ 36 = 4 + n + n

↠ 36 – 4 = 2n

↠ 32 = 2n

• Dividing both term by 2

↠ n = 16

__________________

☢ DIMENSIONS OF THE GARDEN :

⇴ Length = (4 + n) = (4 + 16) = 20 cm

⇴ Width = n = 16 cm

∴ Length & Width of the rectangular garden is 20 cm & 16 cm respectively.

Answer 2

Step-by-step explanation:

total perimeter of garden=2×36

=72cm

let the width of rectangle be x cm.

then, length = x +4 cm.

perimeter of rectangle = 72cm

2(l+b)=72

2(x+x+4)=72

2(2x+4)=72

2×+4=72/2

2x+4=36

2x =36- 4

x= 32/2

×=16 cm

width =16 cm

length =16+4cm

=20 cm