Cheko often helps his grandfather weed the garden. The rectangular garden has a perimeter of 112 metres. The length is thrice the breadth. What is the area of the garden?

Step 1: Understand the problem The problem is asking for the area of a rectangular garden. We know that the perimeter of the rectangle is 112 meters and the length is three times the breadth.

Step 2: Use the formula for the perimeter of a rectangle The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width (or breadth in this case).

Step 3: Set up the equations We know that the length is three times the breadth, so we can write L = 3W. We also know that the perimeter is 112 meters, so we can write 112 = 2L + 2W.

Step 4: Substitute L = 3W into the perimeter equation This gives us 112 = 2(3W) + 2W, which simplifies to 112 = 6W + 2W, and further simplifies to 112 = 8W.

Step 5: Solve for W Divide both sides of the equation by 8 to get W = 14 meters.

Step 6: Substitute W = 14 into the equation L = 3W to find L This gives us L = 3(14), so L = 42 meters.

Step 7: Use the formula for the area of a rectangle The formula for the area of a rectangle is A = LW, where A is the area, L is the length, and W is the width.

Step 8: Substitute L = 42 and W = 14 into the area formula This gives us A = 42 * 14, so A = 588 square meters.

So, the area of the garden is 588 square meters.