X*y=y/b........................
Answer:
A = 81 m²
Step-by-step explanation:
The formula for area of the parallelogram is
A = LH where L is the length of the base, and H is the height
L is given as 9, and H is given as 5, so
A = (9)(5) = 45 m²
The are of the triangle is
A = (1/2)bh where b is the base and h is the height
b is given as 9. Its's 9 because that side of the parallelogram is parallel to the base of the parallelogram and is also equal in measure. The height of the triangle is give as 8, so the area is..
A = (1/2)(9)(8)
A = 36 m²
The total area is
45 m² + 36 m² = 81 m²
Answer:
the total area is 15.6 square units
Step-by-step explanation:
hello,
you can find the total area dividing the shape into two known shapes
total area= area of the trapezoid +area of the semicircle
then
step one
find the area of the isosceles trapezoid using

where
a is the smaller base
b is the bigger base
h is theheight
A is the area
let
a=2
b=5
h=4
put the values into the equation

Step two
find the area of the semicircle
the area of a circle is given by

but, we need the area of half circle, we need divide this by 2

now the diameter of the semicircle is 2, put this value into the equation

find the total area
total area= area of the trapezoid +area of the semicircle

so, the total area is 15.6 square units
Have a good day.
Answer:
The values of x and y in the diagonals of the parallelogram are x=0 and y=5
Step-by-step explanation:
Given that ABCD is a parallelogram
And segment AC=4x+10
From the figure we have the diagonals AC=3x+y and BD=2x+y
By the property of parallelogram the diagonals are congruent
∴ we can equate the diagonals AC=BD
That is 3x+y=2x+y
3x+y-(2x+y)=2x+y-(2x+y)
3x+y-2x-y=2x+y-2x-y
x+0=0 ( by adding the like terms )
∴ x=0
Given that segment AC=4x+10
Substitute x=0 we have AC=4(0)+10
=0+10
=10
∴ AC=10
Now (3x+y)+(2x+y)=10
5x+2y=10
Substitute x=0, 5(0)+2y=10
2y=10

∴ y=5
∴ the values of x and y are x=0 and y=5
Answer:
36
Step-by-step explanation:
From the diagram, the following is true;
AY = YB = 7
BZ = ZC = 6
XC = XA = 5
perimeter of the triangle is the sum of all the sides
Hence ;
Perimeter = AY+YB+BZ+ZC+XC+XA
Perimeter of the triangle = 7+7+6+6+5+5
Perimeter of the triangle = 36
hence the perimeter of the triangle is 36