Answer:
5 cm and 13 cm
Step-by-step explanation:
Let b be the width of the rectangle.
Length = 3+2b
The area of the rectangle is 65 cm²
We need to find the dimensions of the rectangle. The area of a rectangle is given by :
A = lb
[tex]65=(3+2b)b\\\\65=3b+2b^2\\\\3b+2b^2-65=0\\\\b=5\ cm,-6.5\ cm[/tex]
Neglecting the negative value, the width of the rectangle is 5 cm.
Length = 3+2b
=3+2(5)
=3+10
=13 cm
Hence, the dimensions of the rectangle are 5 cm and 13 cm.
