The area of a rectangle is A=LW, the area of a square is A=S^2.
W=S-2 and L=2S-3
And we are told that the areas of each figure are the same.
S^2=LW, using L and W found above we have:
S^2=(2S-3)(S-2) perform indicated multiplication on right side
S^2=2S^2-4S-3S+6 combine like terms on right side
S^2=2S^2-7S+6 subtract S^2 from both sides
S^2-7S+6=0 factor:
S^2-S-6S+6=0
S(S-1)-6(S-1)=0
(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:
S=6 is the only valid value for S. Now we can find the dimensions of the rectangle...
W=S-2 and L=2S-3 given that S=6 in
W=4 in and L=9 in
So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.
Answer:
1) Enlargement
2) Reduction
Step-by-step explanation:
Question 1
200% means double, a factor 2
a) 2(2.5) = 5 inches
it's an enlargement
b) 2(original) = new/on the page
Question 2
a) 0.6(24) = 14.4 inches
Reduction
b) 0.6(original) = new/sketch
Answer:
C 1/2
Step-by-step explanation:
There are 4 suits, 2 suits are red (hearts and diamonds) while 2 are black (clubs and spades)
Since 13 cards are in each suit, 26 cards are red ( 2 * 13)
There are 52 total cards
P (red) = red cards/ total cards
= 26 / 52
= 1/2
Answer: english?
Step-by-step explanation:
