Question

if the sides of a rectangle are 5x+2 and 2x+3 then its perimeter is______(a) 3x-1 (b) 7x+5 (c) 14x+10 (d) 7x +10​

Answer 1

Answer:

14x+10 is the correct answer

Answer 2

Answer:

Given:-

If the sides of a rectangle are 5x + 2 and 2x + 3 then its perimeter is _________

a) 3x - 1

b) 7x + 5

c) 14x + 10

d) 7x + 10

To Find:-

The perimeter of rectangle.

Note:-

●》If there is given two sides, we would either considered it length or breadth; As when we calculate them their sum is also equal.

●》Perimeter of rectangle = 2 × ( Length + Breadth ) "or" 2 × ( Sum of sides )

Solution:-

[According to note first point ]

$\huge\red{Here, I \ \ am \ \ taking;}$

$\huge\red{ \ \ \ \ Length = 5x + 2, Breadth = 2x + 3}$

$\huge\red{ \ \ \ \ Perimeter = ?}$

☆ According to note second point~

▪︎$Perimeter \ \ of \ \ rectangle = 2 × ( Length + Breadth )$

▪︎$Perimeter \ \ of \ \ rectangle = 2 × ( 5x + 2 + 2x + 3 )$

☆ Like terms will be calculated~

▪︎$Perimeter \ \ of \ \ rectangle = 2 × 7x + 5$

☆ After doing multiplication with variable and constant terms~

▪︎$Perimeter \ \ of \ \ rectangle = 14x + 10$

$\huge\pink{Perimeter \ \ of \ \ rectangle = 14x + 10}$

Answer:-

Hence, the Perimeter of rectangle = 14x + 10 ( Option "c" ).

:)