L = 20 and W = 15
Explanation:
Let's review what is known about the rectangle in question - the area is 300 cm squared and the ratio of the Length to the Width (which I'll shorten to L and W) is 4:3.
Let's start with the ratio. We know that they are related to each other - 4 of a basic unit of length for L and 3 of that same basic unit of length for W. So we can say that
L =
4
x
and W =
3
x
We also know from the formula for the area of a rectangle that LW = Area of the rectangle. Substituting in the terms with the x's in them gives us
(
4
x
)
(
3
x
)
=
300
so let's solve for x:
12
x
2
=
300
x
2
=
300
12
=
25
x
=
√
25
=
5
(ignoring the negative root since that makes no sense in this application)
Substituting x back into our equations for L and W, we get
L =
4
(
5
)
=
20
and W =
3
(
5
)
=
15
Checking our work - there is a ratio of L:W of 4:3. And LW =
20
⋅
15
=
300
Hope this is what you meant
Answer:
Dimension of room = 18 foot x 18 foot
Step-by-step explanation:
Let the square room is of side a foot,
The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot
Total cost is $1773.
Cost for re-finishing the hardwood floors = Area x 2.25
Area = a²
Cost for re-finishing the hardwood floors = 2.25 a²
Cost of purchasing and installing the new baseboards = Perimeter x 14.5
Perimeter = 4a
Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a
Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards
1773 = 2.25 a² + 58a
2.25 a² + 58a - 1773 = 0
a = 18 or a = -43.77(not possible)
Dimension of room = 18 foot x 18 foot
Answer:
C. 40%
Step-by-step explanation:
Since 2 of the 5 sections are shaded in, 2/5 of the circle is shaded in.
Simply divide 2 by 5 to get 0.4 and multiply by 100 to get 40%.
Answer:
3. 6
Step-by-step explanation:
X - y = 4 ( Equation 1 )
X + y =8 ( Equation 2 )
equation 1 + equation 2
; 2x = 12
x = 12÷2
x =6
hope it helps ☺️
