1. A rectangle has dimensions (3x + 1)cm by (2x+1)cm. Given that the a

1.	1. A rectangle has dimensions (3x + 1)cm by (2x+1)cm. Given that the area of the rectangle is 117 cm2, find the value of x, the perimeter of the rectangle.
Answer» Step-by-step EXPLANATION: Given: dimensions of rectangle are (3x+1) CM by (2x+1)cm area of rectangle = 117cm2 let l=3x+1, b = 2x+1 sol: area of rectangle =l*b = (3x+1)(2x+1) = 6x2+3x+2x+1 =6x2+5x+1 =6x2-3x-2x+1 = -3x(-2x+1) +1(-2x+1) =(-2x+1)(-3x+1) = -2x+1 =0 (or) -3x+1 =0 -2x = -1 -3x = -1 x = -1/-2. x = -1/-3 x = 1/2. x = 1/3

1. A rectangle has dimensions (3x + 1)cm by (2x+1)cm. Given that the area of the rectangle is 117 cm2, find the value of x, the perimeter of the rectangle.

Answer»

Step-by-step EXPLANATION:

Given:

dimensions of rectangle are (3x+1) CM by (2x+1)cm

area of rectangle = 117cm2

let l=3x+1, b = 2x+1

sol:

area of rectangle =l*b

= (3x+1)(2x+1)

= 6x2+3x+2x+1

=6x2+5x+1

=6x2-3x-2x+1

= -3x(-2x+1) +1(-2x+1)

=(-2x+1)(-3x+1)

= -2x+1 =0 (or) -3x+1 =0

-2x = -1 -3x = -1

x = -1/-2. x = -1/-3

x = 1/2. x = 1/3

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1. A rectangle has dimensions (3x + 1)cm by (2x+1)cm. Given that the area of the rectangle is 117 cm2, find the value of x, the perimeter of the rectangle.

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