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Area of rectangle is 96 square meter more than the area of triangle. Length of rectangle is 18 m. Height of triangle is 20 m. Base of triangle is equal to breadth of rectangle. Find the perimeter of rectangle
1. 60
2. 72
3. 54
4. 64
5. 48

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Correct Answer - Option 1 : 60

Given:

Area of rectangle is 96 square meter more than the area of triangle

Length of Rectangle = 18 m

Height of Triangle = 20 m

Base of Triangle = Breadth of rectangle

Formula used:

Area of Rectangle = Length × Breadth

Area of Triangle = 1/2 × Base × Height

Calculation:

According to question

Length × Breadth = 1/2 × Base × Height + 96

⇒ 18 × B = 1/2 × B × 20 + 96

⇒ 18B = 10B + 96

⇒ 8B = 96

⇒ B = 12

Now, Perimeter of rectangle = 2(18 + 12)

⇒ 2 × 30 = 60 m

∴ Perimeter of rectangle is 60

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