The width of the rectangle is 3.6 m, which is 45% of its length. The sides of the rectangle have increased by 10%

The width of the rectangle is 3.6 m, which is 45% of its length. The sides of the rectangle have increased by 10% by how many square meters to increase its area?

1) Find the initial length of the rectangle.

3.6 / 45% / 100% = 3.6 * 100/45 = 360/45 = 8 cm.

2) Determine the initial area of the rectangle.

To do this, we multiply its sides.

3.6 * 8 = 28.8 m2

3) Determine the value of the sides of the rectangle after its sides have been increased by 10%.

Since the initial sides are 100%, their new value will be:

100% + 10% = 110% (from the old ones).

New length:

8 * 1.1 = 8.8 m.

New width:

3.6 * 1.1 = 3.96 m.

New square:

8.8 * 3.96 = 34.848 m2

4) Find the area difference.

34.848 – 28.8 = 6.048 m2

Answer: The area has increased by 6,048 m2



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