W= width
l= length= 2w-3
Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)
Set each set of parentheses equal
to 0 and solve for width.
0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE
0=w-6
6 cm=w
-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.
length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm
CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54
ANSWER: width= 6cm; length= 9cm
Hope this helps! :)
Answer:
Option D. No,they are not similar because their side lengths are not proportional.
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem If the rectangles are similar
then
The ratio of its corresponding lengths must be equal to the ratio of its corresponding heights
<u><em>Verify</em></u>

therefore
The rectangles are not similar because their side lengths are not proportional.
Answer:
Step-by-step explanation:
2(x-1)=50, lets multiply
2x-2=50 add 2 in both sides
2x=48
x=24
your options are weird, unless you mean (x-1)^2 ?
Hey there!
12 × 3 × 5 = 180
Why?
Because ⬇
12 × 3 = 36
36 × 5 = 180
~~~~~~~~~~~~~
We can say
• 12(3 × 5) as one of them ✅
• 36 × 5 as another ✅
Because all of them equals 180, if you do your math steps correctly
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)