Question

The length and breadth of a rectangular garden are in the ratio 3: 2. If its length is l50 m, find its area

Answer 1

Answer:

Given, length:breadth=3:2.

Let length =3k and breadth=2k. So, Area of garden=3k*2k=6k^2.

Now, 3k=150 , k=50, 6k^2=6*50^2=6*2500=15,000m^2.

Step-by-step explanation:

Answer 2

GIVEN THAT

• Ratio of length and breadth is 3:2
• Perimeter = 150 m

TO FIND

• Area of the rectangular garden.

FORMULA USED

• Perimeter of rectangle = 2(L + B)
• Area of rectangle = L × B

STEP BY STEP EXPLANATION

• Let the ratio of length and breadth be x
• Then, Length = 3x
• Breadth = 3x

SOLUTION

• Perimeter of rectangular garden

= 2 ( L + B )

➡️ 2(L + B) = 150 m

➡️ 2(3x + 2x) = 150

➡️ 2 × 5x = 150

➡️ 10x = 150

➡️ x = 150

10

➡️ x = 15

NOW,

Length of garden = 3x = 3 × 15 = 45m

Breadth of garden = 2x = 2 × 15 = 30m

Area of rectangular garden = L × B

➡️ (45 × 30)m²

➡️ 1350 m²

So, Area of the rectangular garden is 1350m²