tnewyen tnewyen
  • 27-10-2020
  • Mathematics
contestada

whats the dimensions of a rectangle with area 33cm and perimeter 23cm

Respuesta :

Queenxoey
Queenxoey Queenxoey
  • 27-10-2020

Answer:

5.5 by 6cm

Step-by-step explanation:

P=2x + 2y = 23

x+y= 11.5

y= 11.5 - x

x (11.5-x) =33

11.5x - x^2 = 33

( multiply by 2 to get rid of the decimal?)

23x -2x^2=66

23x-2x^2+66=0

(x-6)(2x - 11) = 0

sub. 6 into y=11.5-x=11.5-6=5.5

sub. 5.5, 5.5=11.5-x, x=11.5 - 5.5= 6

Therefore the dimensions of the rectangle are 6cm by 5.5cm.

hope u get an understanding from this!

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