Answer:
Length = 10 cm
width = 5 cm
perimeter= 30 cm
Step-by-step explanation:
perimeter of a rectangle= p= 2*L +2*w
L= length
w= width
area of a rectangle=A= L*w
the statement tell us:
L= 5+w
A = 50cm^2
so we have:
50 = (5+w)*w
50=5w+w^2
we have :
w^2 +5w-50=0
we apply the quadratic formula
[tex]\frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}[/tex]
a=1 b=5 c=-50
[tex]\frac{-5+-\sqrt{5^{2}-4*1*-50}}{2*1} \\\\\frac{-5+-\sqrt{225}}{2} \\\\\frac{-5+-15}{2} \\\\[/tex]
so width= (-5+15)/2
width=5cm
L= 5+w=5+5=10 cm =length
perimeter=2(10)+2*(5)=20+10=30 cm
