Question

2) The length of a rectangular park is 100 m, while its
width is 80m. What is its perimeter and area?
Which is greater?​

Answer 1

Dimensions of a rectangle=100 m×80 m

Therefore, L×B= 100 m×80 m

To find: the ratio of the length to its breadth to its perimeter.

Solution: Since L×B=100m×80m= 8000 Sq m

Part 1: Ratio=(L/B)=(100/80)=4/5.

Part 2: Finally, the corresponding ratio is shown by= (L/B)/P=(4/5)/P.

Since the perimeter of rectangle=2×(L+B)

Therefore, Perimeter=2×(100+80)m=

2×180 m=360 m.

Hence the required ratio=(4/5)/360=4/5×1/360=(1×1)/(5×90)

=1/450=1:450 Ans.

Answer 2

Given :

• Length of a rectangular park = 100 m
• Breadth of a rectangular park = 80 m

To Find :

• Its Perimeter
• Its Area
• Comparison between area and perimeter

Explanation :

• Area of rectangle = Length × Breadth

• Perimeter of rectangle = 2(Length + Breadth)

Explanation :

Area of rectangle :

We know that if we are given the length and breadth of the rectangle and is asked to find the area of the rectangle then our required formula is,

Area of rectangle = Length × Breadth

where,

• Length = 100 m
• Breadth = 80 m

Substituting the values,

⇒ Area = 100 × 80

⇒ Area = 8000

∴ Area = 8000 m².

Area of rectangular park is 8000 m².

Perimeter of rectangle :

We know that if we are given the length and breadth of the rectangle and is asked to find the perimeter of the rectangle then our required formula is,

Perimeter of rectangle = 2(Length + Breadth)

where,

• Length = 100 m
• Breadth = 80 m

Substituting the values,

⇒ Perimeter = 2(100 + 80)

⇒ Perimeter = 2(180)

⇒ Perimeter = 2 × 180

⇒ Perimeter = 360

∴ Perimeter = 360 m.

Perimeter of rectangular park is 360 m.

Now,

⇒ 8000 > 360

⇒ Area > Perimeter

∴ Area > Perimeter.

Area of the rectangular park is greater than its perimeter.