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: 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 [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]
Solve for X
Side 1:
[tex]((2(3x-1))*2)[/tex]
[tex]((6x-2)*2)[/tex]
[tex](12x-4)[/tex] simplified
Side 2:
[tex]((2x+3)*2)[/tex]
[tex](4x+6)[/tex] simplified
Solve:
[tex](12x-4) + (4x+6) = 98[/tex]
[tex]16x+2=98[/tex]
[tex]16x=96[/tex]
[tex]\frac{16x}{16} = \frac{96}{16}[/tex]
[tex]x = 6[/tex]
Substitute x
[tex]2(3(6)-1) = 34[/tex]
[tex](2(6)+3) = 15[/tex]
The dimensions of this rectangle are 34x15.
