Area = l*w
So let width be w and length be w+6
Noe equation is
B(B+6) = 72
Solve for B and find the answer
The area of a rectangle is 72 cm². The length. l, of the rectangle is 6 cm longer than the width, w.
What is the width of the rectangle?
10 cm
8 cm
6 cm
2 cm
4 answers
width ---- w
length ---- w+6
width*length = area
w(w+6) = 72
w^2 + 6w - 72 = 0
(w-6)(w+12) = 0
w = 6 or w = a negative
the width is 6 cm
with only a few nice choices you could have easily checked each one in your head
e.g.
for the first one: is 10 times 16 equal to 72 ? NO
etc
length ---- w+6
width*length = area
w(w+6) = 72
w^2 + 6w - 72 = 0
(w-6)(w+12) = 0
w = 6 or w = a negative
the width is 6 cm
with only a few nice choices you could have easily checked each one in your head
e.g.
for the first one: is 10 times 16 equal to 72 ? NO
etc
6cm
If the rectangle measure 72cm²and it's width is 6cm , identify it's length