Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
Answer:
math is a difficult subject
Answer:
85.95 km
Step-by-step explanation:
Given that,
Alberto ran 45 kilometers on Monday.
On Tuesday, he runs 91% of the distance he ran on Monday.
We need to find how far did he run on Tuesday. It can be given by :
So, he run 85.95 km on Tuesday.
Answer:
2.5 dollars
Step-by-step explanation:
If 12 is shaded out of 18 then the fraction is 12/18. We then need to simplify it to get 2/3.
The answer is D) 2/3
