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A rectangle is split into two parts as shown. Find the perimeter of the whole (outer) rectangle.

Class 8Adding and Subtracting ExpressionsAlgebra

A $6 x + 7$
B $12 x + 14$
C $12 x + 7$
D $10 x + 14$

Step-by-Step Solution

Length

= (3 x + 2) + (x + 5) = 4 x + 7

; breadth

= 2 x

. Perimeter

= 2 (4 x + 7 + 2 x) = 12 x + 14.10 x + 14

counts the breadth only once.

Answer: B)

12 x + 14

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