The width of a rectangle is 1units less than the length. The area of the rectangle is 42 units
![The width of a rectangle is 1units less than the length The area of the rectangle is 42 units class=](https://us-static.z-dn.net/files/d57/eef54b643ec3e70e3cd21e089360cf07.png)
Answer:
Step-by-step explanation:
w=l-1
∵A=l×w
∴A=l×(l-1)
⇒42=l²-l
⇒l²-l-42=0 (After subtracting 42 from both sides)
Two factors of 42 that add to give negative 1 :-7+6
∴ (l-7)(l+6)=0
∴ l=7 or l=-6
but remember that length is a scalar quantity, hence l≠6 but l=7.
I hope this helped you solve this math problem and made you better understand