Answer:
72 ft²
Step-by-step explanation:
Given :
Parallelogram ABCD with side AD parallel to side BC and side AB is parallel to side DC.
Point E is on side AB. AE is 3 feet. DC is 9 feet.
A dotted segment DE runs from point D to the opposite side AB and is perpendicular to side AB.
DE is 8 feet.
To Find: Area of parallelogram
Solution :
Refer the attached figure .
Since opposite sides of parallelogram is equal .
So DC=AB=9 feet
Area of parallelogram = base * height
= AB*DE
=9*8 = 72 ft²
Thus the area of garden in the shape of parallelogram is 72 ft²
Answer:
The value of x is 47°
and the value of y is 100°
Answer:
it can't be a whole number
Step-by-step explanation:
3/4 isn't a whole number. however, the decimal form is 0.75
Answer:
The length of the rectangle is
12
c
m
and the area of the rectangle is
60
c
m
2
.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
a
2
+
b
2
=
c
2
5
2
+
b
2
=
13
2
25
+
b
2
=
169
25
−
25
+
b
2
=
169
−
25
b
2
=
144
√
b
2
=
√
144
b
=
±
12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is
12
cm.
The area of a rectangle is given by multiplying the width by the length.
A
=
(
5
c
m
)
(
12
c
m
)
A
=
60
c
m
2
