: The perimeter of a rectangle is 90m. If its length exceeds its breadth by 2m, find its area
Answers
Answered by
3
Step-by-step explanation:
Let breadth of rectangle be x.
Then, its length = x+5
Now, Perimeter = 90 m
2(x+x+5)=90
2x+5=45
2x=40
x=20 m
Therefore, length = 25 m and breadth = 20
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Answered by
26
Given
- Perimeter of a rectangle is 90m.
- It's length exceeds it's breadth by 2m.
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To find
- Area of the rectangle.
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Solution
- Let the breadth of the rectangle be b meters, then it's length will be (b + 2)m.
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→ Perimeter = 90
→ 2(l + b) = 90
→ 2(b + 2 + b) = 90
→ 2b + 2 = 90/2
→ 2b + 2 = 45
→ 2b = 45 - 2
→ 2b = 43
→ b = 43/2
→ b = 21.5 m
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- Then, length = 23.5 m
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★ Area = length × breadth
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→ Area = 23.5 × 21.5
→ Area = 505.25 m²
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Hence,
- Area of the rectangle is 505.25m².
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⠀⠀ ⠀⠀⠀ ☆ Some Formulae ☆
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→ Area of square = (side)²
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→ Area of rectangle = length × breadth
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→ Area of triangle = ½ × base × height
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→ Area of parallelogram = base × height
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→ Area of Circle = πr²
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