A lawn is in the form of a rectangle having its sides in the ratio 2:

1.	A lawn is in the form of a rectangle having its sides in the ratio 2: 3. The area of the lawn is (1/6) hectares. Find the length and breadth of the lawn.
Answer» Let length = 2x metres and breadth = 3x metre. Now, area = (1/6 )x 1000 m² = 5000/3m² So, 2x * 3x = 5000/3 x² = 2500/9 x = 50/3 therefore Length = 2x = (100/3) m = 33(1/3) m and Breadth = 3x = 3(50/3) m = 50m.

A lawn is in the form of a rectangle having its sides in the ratio 2: 3. The area of the lawn is (1/6) hectares. Find the length and breadth of the lawn.

Answer»

Let length = 2x metres and breadth = 3x metre.

Now, area = (1/6 )x 1000 m² = 5000/3m²

So, 2x * 3x = 5000/3

x² = 2500/9

x = 50/3

therefore Length = 2x = (100/3) m = 33(1/3) m and Breadth = 3x = 3(50/3) m = 50m.