Question

The width of a rectangle is 6 units less than the length. The area of the rectangle is 16 units. What is the length, in units, of the rectangle?

Answer 1

length=8 units

Step-by-step explanation:

1. LET,
2. A=16 units
3. L=a units
4. B=a-6 units
5. L*B=A
6. Replacing value of L with 'a'. and B with 'a-6',
7. a(a-6)=16
8. a*a-a*6=16
9. a^2-6a=16
10. a^2-6a-16=0
11. a^2-8a+2a-16=0
12. a(a-8)+2(a-8)=0
13. (a-8)(a+2)=0
14. Either,. a-8=0
15. first value a=8
16. Or,. a+2=0
17. second value a=-2(Rejected due to negative)
18. therefore, a=L=8
19. Length=8 units