Width and length

For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle?

Correct answer:

p =  52 m

Step-by-step explanation:

2a=1+b A=153 m2  A = ab  A=a (2 a1)  153=a (2 a1) 2a2+a+153=0 2a2a153=0  p=2;q=1;r=153 D=q24pr=1242(153)=1225 D>0  a1,2=2pq±D=41±1225 a1,2=41±35 a1,2=0.25±8.75 a1=9 a2=8.5  a=a1=9 m b=2 a1=2 91=17 m  p=2 (a+b)=2 (9+17)=52 m

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