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

the dimensions of the rectangle are 34cm and 15cm

Explanation:

proof:

p= (2 × 34) + (2 × 15)

=68 + 30

= 98

hope this helps!!

Answer 2

Answer: 34x15

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`

`(16x)/(16) = (96)/(16)`

`x = 6`

Substitute x

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

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

The dimensions of this rectangle are 34x15.