Get 5 credit points for each correct answer. The best one gets 25 in all. Juanelle B. Can you please help me solve this problem> If each of the dimensions of a rectangle is increased by 100% , by what percent is the area increased. 3 Answers By Expert Tutors
Bob A. answered • 12/07/13 20 Years Making Science and Maths Understandable and Interesting!
There is an important difference in the ways the new area could possibly be stated. The new area is 4 times what it was before. So the new area is four times the old area of LW But the increase in area is 300% Increase is looking for the difference between the old and new. So the increase in area is 3 times what the old area was or the increase in area is 300%. Since according to your question you are asked for the percent increase, the answer would be "the area is increased by 300 precent".
Nataliya D. answered • 12/06/13 Patient and effective tutor for your most difficult subject.
100% = 1 A = length * width "... if each of the dimensions of a rectangle is increased by 100% ..." Let length of new rectangle be "l1" and width - "w1" l1 = l + l * 100% = l + l * 1 = 2l w1 = w + w * 100% = w + w * 1 = 2w A1 = 2l * 2w = 4lw = lw + 3lw = A + 3A = A + 300% * A Thus, the area is increased by 300%
Vivian L. answered • 12/06/13 Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH
Increasing anything by 100% is doubling it. 4(Area)=[2(length)][2(width)] Let's try a hypothetical example. A rectangle is 4 units x 3 units. Its area is 12 units-squared. We will increase both dimensions by 100%. We will double each of these. It is now 8 units x 6 units. Its area is 48 units-squared. Its increase is 4x2=(2x2+2x2) Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now
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Given: Each side of the Rectangle increases by 20 % Concept Used: Concept of percentage. It is calculated on the basis of 100. For example, x% means x out of 100. Area of rectangle = Length × Breadth Calculation: Let, the length of the rectangle be l and the breadth be b According to the Question, Each side increases by 20% ⇒ New length = (120/100) × l = (1.2 × l) and new breadth = (120/100)b = 1.2b Initial area = l × b new area with new side = (1.2 × l) × (1.2b) = 1.44 × lb \(Net\;change = \frac{({1.44 - 1}) \times lb}{{lb}} × 100 = 44\;\% \;\;\) ∴ The percentage in area is 44%. India’s #1 Learning Platform Start Complete Exam Preparation
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