Answer:
93
Step-by-step explanation:
180-25=155
155÷5=31
31×3=93
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:
2394 cubic centimeters
Step-by-step explanation:
If all of the dimensions of the shipping box are 1.3 times that of the gift, then the volume of the box is 1.3^3=2.197 times that of the gift. Dividing this by the volume of the box, you get a volume of 2000 cubic centimeters for the volume of the gift. Subtracting this from the volume of the box, you get 2394 cubic centimeters of unused space. Hope this helps!
Numbers I think I'm not that smart