Since the length of this rectangle is twice its breadth, the length is equal to 40 cm.
<h3>How to calculate the area of a rectangle?</h3>
Mathematically, the area of a rectangle can be calculated by using this formula:
Area = Length × Width
Based on the information provided, we have:
- Its length is decreased half of the 10 cm ⇒ (length - 5)
- Its breadth is increased by half of the 10 cm ⇒ (breadth + 5)
- Its area is increased by 75 cm ⇒ (area + 5)
Substituting the parameters into the formula, we have:
LB + 75 = (L - 5)(B + 5)
2B² + 75 = (2B - 5)(2B + 5)
2B² + 75 = 2B(B + 5) - 5(B + 5)
2B² + 75 = 2B² + 10B - 5B - 25
5B = 75 + 25
5B = 100
B = 100/20
B = 20 cm.
For the length, we have:
L = 2B
L = 2 × 20
L = 40 cm.
Read more on rectangle here: brainly.com/question/25292087
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