Question

A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?​

Answer 1

Answer:

the dimensions of the rectangle are 34cm and 15cm

Step-by-step explanation:

proof:

p= (2 × 34) + (2 × 15)

=68 + 30

= 98

hope this helps!!

Answer 2

Answer: 34x15

Step-by-step explanation:

A rectangle

Knowing the properties of a rectangle, the opposite sides are equal and parallel.

Determine formula

Since both sides are equal, our formula is $((2(3x-1))*2)+((2x+3)*2)=98$

Solve for X

Side 1:

$((2(3x-1))*2)$

$((6x-2)*2)$

$(12x-4)$ simplified

Side 2:

$((2x+3)*2)$

$(4x+6)$ simplified

Solve:

$(12x-4) + (4x+6) = 98$

$16x+2=98$

$16x=96$

$\frac{16x}{16} = \frac{96}{16}$

$x = 6$

Substitute x

$2(3(6)-1) = 34$

$(2(6)+3) = 15$

The dimensions of this rectangle are 34x15.