Question

Please and thank you?

Answer 1

Let's learn the relationship

• Area=Length×Breadth

So Area is directly proportional to length

The Garden B has largest area

But hang on this is incorrect it's rectangle other side might be too long .

Spare way(Accurate and correct)

We can calculate also

For garden A

• 2(L+B)=120
• 2(25+B)=120.
• 25+B=60
• B=35

Area

LB

• 35(25)
• 875ft²

For garden B

• 2(50+B)=120
• 50+B=60
• B=10

Area

• 50(10)
• 500ft²

Surprisingly assumption at first turned right

Garden A has highest area not Garden B

Answer 2

Garden A

Explanation:

Formula

• Perimeter of a rectangle = 2(w + l)

• Area of a rectangle = w × l

(where w is the width and l is the length)

Garden A

Given:

• Perimeter = 120 ft
• One side length = 25 ft

Using the formula for the perimeter to calculate the missing side length:

Perimeter = 2(w + l)

⇒ 120 = 2(25 + l)

⇒ 120 = 50 + 2l

⇒ 2l = 70

⇒ l = 35 ft

Therefore, the dimensions of Garden A are:

• width = 25 ft
• length = 35ft

Area = w × l

⇒ Area of Garden A = 25 × 35

= 875 ft²

Garden B

Given:

• Perimeter = 120 ft
• One side length = 50 ft

Using the formula for the perimeter to calculate the missing side length:

Perimeter = 2(w + l)

⇒ 120 = 2(w + 50)

⇒ 120 = 2w + 100

⇒ 2w = 20

⇒ w = 10 ft

Therefore, the dimensions of Garden B are:

• width = 10 ft
• length = 50 ft

Area = w × l

⇒ Area of Garden B = 10 × 50

= 500 ft²

Conclusion

As 875 > 500, Garden A has the largest area.