Question

the area of a square lawn and rectangular vegetable garden are equal. the perimeter if the lawn is 24 m and its side is twice the breadth of the garden. find the length of the garden

Answer 1

Answer:

the width of the lawn is 5 m.

Step-by-step explanation:

Perimeter of the lawn = 24 m. Hence L+B = 12 m

LB=35 sq m. or

B(12-B) = 35

B^2–12B+35 = 0

(B-7)(B-5)=0

So B = 7 m or 5 m and the corresponding L = 5m or 7 m.

Since L >B, the width of the lawn is 5 m.

Answer 2

Answer:

the width of the lawn is 5 m.

Step-by-step explanation:

Perimeter of the lawn = 24 m. Hence L+B = 12 m

LB=35 sq m. or

B(12-B) = 35

B^2–12B+35 = 0

(B-7)(B-5)=0

So B = 7 m or 5 m and the corresponding L = 5m or 7 m.