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:
BC is equal to 7
Step-by-step explanation:
18 = 2x + 4
18 - 4 = 14
14 = 2x
14/2 = 7
7 = x
Integers because it uses degrees
Answer:
2720 feet squared
Step-by-step explanation:
85 * 32 = 2720
Answer:
They either both have to be positive or negative.
Step-by-step explanation:
1 / 1 = 1
-1 / -1 = 1
This gets you positive, when both dividend and divisors are positive or negative.
-1 / 1 = -1
1 / -1 = -1
This gets you negative, when both dividend and divisors are different signs.