Question

The length and breadth of a rectangular field are in the ratio 7:5.If it's perimeter is 480 find its dimensions

Answer 1

Answer:

length=140

breadth=100

Answer 2

Answer:

• Length = 140m
• Breafth = 100m
• Dimensions = 140 × 100 = 14000m

Given:

• length and breadth of a rectangular field are in the ratio is 7 : 5

• perimeter is 480

To find:

• dimensions

Solution :

Given that the length and breadth of a rectangular field in the ratio and the perimeter so we have to find the dimensions .

Given the ratio 7:5

• Let the length be 7x
• Let the breadth be 5x

As we know that,

• perimeter = 2 (l + b)

where,

• length is 7x
• breadth is 5x
• perimeter is 480

so,

⟶ perimeter = 2 (l + b)

⟶ 480 = 2 (7x + 5x)

⟶ 480 = 14x + 10x

⟶ 480 = 24x

⟶ 24x = 480

⟶ x = 480/24

⟶ x = 20

so, x = 20

Now we have to find the dimensions:

• Length = 7x = 7 (20) = 140m
• Breadth = 5x = 5 (20) = 100m

■ Dimensions = 140 m × 100m = 14,000 m