Answer:
x² + 8x + 12
Step-by-step explanation:
Area of a rectangle = length × width
Original dimensions:
Width = x
Length = x + 4
James will increase both dimensions of the floor by 2 feet
New dimensions:
Width = x + 2
Length = x + 4 + 2
= x + 6
Area of the new rectangle = length × width
= (x + 2) × (x + 6)
= x² + 6x + 2x + 12
= x² + 8x + 12
Equation which represents the
new area, N, of the floor of the cage = x² + 8x + 12
Given:
DE = (6x - 9) cm
EF = (4x + 4) cm
LM = 14 cm
MN = 16 cm
To find:
The value of x.
Solution:
<em>If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.</em>


Do cross multiplication.


Add 144 on both sides.


Subtract 56x from both sides.


Divide by 40 on both sides, we get

The value of x is 5.
1st step. Calculate the area of the parallelogram
We can use the following formula:

where,
base, b = 9 km
height, h = 5 km
Therefore,

The area of the parallelogram is 45 km^2
2nd step. Calculate the area of the triangle
Let's use this formula:

where,
base, b = 6 km
height, h = 3 km
Therefore,

The area of the triangle is 9 km^2
3rd step. calculates the ratio of the area of the parallelogram to the area of the triangle

Answer: the area of the parallelogram is 5 times greater than the area of the triangle.
Answer:
Length = 0.8m
Breadth = 0.3m
Volume = 108litres = 108÷1000 = 0.108m³
Volume = l x b x h
0.108 = 0.8 x 0.3 x h
0.108 ÷ ( 0.8 x 0.3 ) = h
0.45 = h