Step-by-step explanation:
The dimensions of the rectangle are two unknowns: The length "l" and the width "w"
The perimeter of a rectangle is found as P = 2*l + 2*w
We also know that the length is 5cm more than twice the width. l = 2*w + 5
These two equations gives us a system of linear equations.
P = 2*l + 2*w
l = 2*w + 5
We can use substitution to replace the "l" in the first equation with 2*w + 5
P = 2*(2*w + 5) + 2*w
P = 4*w + 10 + 2*w
P = 6*w + 10
we know the perimeter is 70
70 = 6* w + 10
subtract 10 from both sides
60 = 6* w
w = 10
Now that we know the width, we can find the length by substituting 10 for "w" in the second equation.
l = 2* 10 + 5
l = 20 +5
l = 25
the dimentions of the rectangle are 25cm x 10 cm
Given:
The dimensions of a rectangle are
and
.
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:

The dimensions of a rectangle are
and
. So, the area of the given rectangle is:




Therefore, the correct option is F, i.e.,
.
I believe it is 8x.
Use the formula A=1/2(b*h)
A=1/2(4x(5x-1))
A=1/2(20x-4x)
A=1/2(16x)
A=8x
Answer:
the first equation
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
the top part with the variables filled in is 0 + (2x4) + (3x4x2) which is 32
the bottom part would be (3x0) + 4 which is 4