Answer:
The two consecutive positive integers are and .
Step-by-step explanation:
Let be an even integer, then the next even integer is .
The sum of the squares of these even integers is .
We can write the following equation and solve for .
.
We expand to get,
.
We simplify to get,
.
This gives us,
We divide through by 2 to get,
.
This is now a quadratic trinomial
We split the middle term to get,
.
We factor to obtain,
We discard since it is not a positive integer.
Hence the two consecutive positive even integers are,
and
Okay this is the basic when there is a - + + = -
The shaded region is a triangle. Triangle area can be determined with formula
a = 1/2 × b × h
From the question, we know that the triangle consists of
base = 10 - 6 = 4 m
and the height is the dimension which is perpendicular to the base,
height = 6 m
Find the triangle area
a = 1/2 × b × h
a = 1/2 × 4 × 6
a = 1/2 × 24
a = 12
The area of the shaded region is 12 m²
Length = 2W
P= 2L + 2W
60 = 2(2W) + 2W
60= 4W +2W
60 = 6W
60/6W = 6W/6W
w = 10
Length = 2(10)
Length = 20
P= 2L + 2W
60= 2(20) + 2(10)
60= 40 +20
60 = 60