Question

perimeter of rectangle if
length= 3x+1 and
breadth=2x-1​

Answer 1

Answer: Hi...☺️

Here is your answer...✌️

GIVEN THAT,

The sides of rectangle are of length

(2x + 1) cm and (3x + 1) cm

★Longer side will be Length and Smaller side will be Breadth of rectangle

=> Length of Rectangle = (3x+1) cm

=> Breadth of Rectangle = (2x+1) cm

And,

Area of Rectangle = 117 cm²

Length×Breadth = 117

(3x+1) × (2x+1) = 117

6x²+3x+2x+1 = 117

6x²+5x+1-117 = 0

6x²+5x-116 = 0

6x²+29x-24x-116 = 0

x(6x+29)-4(6x+29) = 0

(x-4)(6x+29) = 0

=> x = 4 or x = -29/6

=> x = 4

[ Length and breadth cannot be negative ]

=> Length = 3x+1 = 3(4)+1 = 12+1

Length, L = 13 cm

=> Breadth = 2x+1 = 2(4)+1 = 8+1

Breadth, B = 9 cm

Now,

Perimeter of Rectangle = 2(L+B)

= 2(13+9)

= 2×22

= 44 cm

Answer : x = 4 , Perimeter = 44 cm

Step-by-step explanation: I TOLD THE CORRECT ANSWER, SO PLEASE MARK ME AS BRAINLIEST