Answer: width = 10 ft
Step-by-step explanation:
Area = length × width
Let l be length and w be width
l = w + 4 ........equation (1)
From above formula
140 = l × w. ........equation (2)
Substitute equation (1) into equation (2)
140 = (w+4) × w
w^2 + 4w= 140
w^2 + 4w - 140= 0
By factorization method
(w+14)(w-10)= 0
w=-14 or w= 10
So now width is 10 ft
From equation(1)
l=w+4
l= 10+4
l= 14 ft
Width = 10 ft and length = 14 ft
The volume of the original prism is given by:
V1 = (10) * (2) * (h)
rewriting:
V1 = 20h
Where,
h: height
The volume of the second prism is given by:
V2 = (5) * (w) * (h)
We know that the height is the same.
As the volume is the same then:
(5) * (w) * (h) = 20h
Clearing w we have:
w = (20/5) = 4 cm
Answer:
The width, in centimeters, of the new prism is:
w = 4cm
The sum is the result of adding two or more numbers.
If one number is 7w and another number is 5, then the sum is
7w+5.
Answer: the algebraic expression for the word phrase the sum of 7w and 5 is 7w+5.
