Question

The area of a rectangle is 24ab and its breadth is 6b . Therefore the perimeter of the rectangle is _________.

A] 2(6b +2ab)
B] 4b(2a+3b)
C] 4(ab+6b)
D] 4ab

Answer 1

Hey There!

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Answer : In attachment

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Please recheck opt. b) It's 4(2a+ 3b) not 4b(2a+3b)

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Answer 2

Answer:

B]. 4(2a+3b)

Step-by-step explanation:

$\text{Area of rectangle = 24ab}\\\\\text{Breadth (w) = 6b}\\\\\text{Let length be l.}\\\\\text{Area of rectangle = } l \times w = l \times 6b = 6lb\\\\But, given area = 24ab\\\\\implies 6lb = 24ab\\\\\implies l = \dfrac{24ab}{6b} = 4a\\\\\\\text{Thus, perimeter = 2(l+w) = 2(4a+6b) = 8a + 12b = 4(2a+3b)}$

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