Question

Answer this correctly with an explanation and get a chance to win brainliest answer.

Ram and Nisha both draw a rectangle each. The length of both the rectangles is 4 cm. The breadth of Nisha’s rectangle is 3/2 times the breadth b, of Ram’s rectangle. Which of these expressions represents the PERIMETER of Nisha’s rectangle?

a) 2( 4 +b) b) 2( 4 +6b) c) 2(4 +32 ) d) 2( 32+4b)

Answer 1

Answer:

Step-by-step explanation:

Answer 2

AnswEr :

$\tt{Ram's \: Rectangle} \begin{cases}\sf{Length=4 \: cm} \\ \sf{Breadth=b\: cm}\end{cases}$

$\tt{Nisha's \: Rectangle} \begin{cases}\sf{Length=4 \:cm} \\ \sf{Breadth=\dfrac{3}{2} \times b} = \dfrac{3b}{2} \:cm \end{cases}$

• Perimeter of Nisha's Rectangle :

$\implies \tt Perimeter = 2 \times (Length+ Breadth)$

$\implies \tt Perimeter = 2 \times \bigg(4 + \dfrac{3b}{2} \bigg)$

$\implies \tt Perimeter = 2 \times \bigg(\dfrac{(4 \times 2) + 3b}{2} \bigg)$

$\implies \tt Perimeter = \cancel2 \times \dfrac{(8+ 3b)}{\cancel2}$

$\implies \tt Perimeter =8 + 3b$

⠀⠀⠀⠀⠀⋆ Multiplying by $\tt\frac{2}{2}$

$\implies \tt Perimeter =(8 + 3b) \times \dfrac{2}{2}$

$\implies \tt Perimeter =\bigg(\cancel8 \times \dfrac{1}{ \cancel2} + 3b \times\dfrac{1}{2} \bigg) \times 2$

$\implies \boxed{\tt Perimeter =2\bigg(4 + \dfrac{3b}{2} \bigg)}$

⠀

∴ Therefore, Option (C) is Correct.