Question

A rectangle has of length (x+2) units and breadth (x+5) units. What is its perimeter?

Answer 1

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Answer 2

Answer:

✳ Perimeter of the rectangle = 4x + 14 units.

SOLUTION

Length (l) of the rectangle =  (x+2) units

Breadth (b) of the  rectangle =  (x+5) units

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large x+2}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large x+5}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

We know that the perimeter of a rectangle =  2(l+b) [Where l is length and b is breadth]

Here,

l = (x+2) units   and   b = (x+5) units

$\implies$ Perimeter of the rectangle = 2 [ (x+2)+ (x+5) ]

$\implies$ Perimeter of the rectangle = 2 ( 2x + 7 )

$\implies$ Perimeter of the rectangle = 4x + 14 units.

QUESTION FOR PRACTISE

The length of a rectangle is (x+7) units and the breadth is (2x + 2) units , then what is its perimeter ?

Answer (For Checking) → 6x + 18 units.