The width of the rectangle is 3.6 m, which is 45% of its length. The sides of the rectangle have increased by 10%
April 29, 2021 | education
| 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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