IBillRandomz5319 IBillRandomz5319
  • 18-04-2018
  • Mathematics
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A rectangle is 4 cm longer than it is wide and its area is 117 cm². find its length. question 22 options: 4 cm 13 cm 9 cm 5 cm

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calculista
calculista calculista
  • 27-04-2018
Let
x---------> length side of rectangle
y--------> width side of rectangle

we know that
area of rectangle=x*y-----> 117 cm²-------> x*y=117-------> equation 1
x=4+y-------> equation 2
substitute 2 in 1

(4+y)*y=117-----> y²+4y-117=0

using a graph tool------> to resolve the second order equation
see the attached figure

y=9 cm
x=4+y-----> x=4+9-----> x=13 cm

the answer is
the length side of rectangle is 13 cm
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