The length of the shorter side of a parallelogram is 29 cm. Perpendicular line segment, which goes through the point of intersec
tion of the diagonals to the longer side divides this longer side into two segments: 33cm and 12cm. What is the area of the parallelogram?
1 answer:
By definition, a parallelogram is merely a quadrilateral. Its key characteristics are having two sets of parallel sides. Consequently, it would have two sets of equal lengths, denoted as a and b. A perpendicular bisector is the red line in the picture that bisects length b into two lengths while creating a right angle. The area of a parallelogram is
A = bh, where
b is the side that meets with h
h is the perpendicular height of the parallelogram
Since h is not known, we have to solve it first through applying the pythagorean theorem.
h = √29^2 - 12^2 = 26.4 m
Thus,
A = (12 cm + 33 cm)(26.4 cm)
A = 1,188 square centimeters
A = bh, where
b is the side that meets with h
h is the perpendicular height of the parallelogram
Since h is not known, we have to solve it first through applying the pythagorean theorem.
h = √29^2 - 12^2 = 26.4 m
Thus,
A = (12 cm + 33 cm)(26.4 cm)
A = 1,188 square centimeters
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Answer:
Then the answer is option a
a. 0<x 10
Step-by-step explanation:
perimeter + height is less than 130 inches.
If height is 60 inches.then perimeter left is 70 inches.
If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.
perimeter of rectangle is
It has two widths and two lengths because that's what rectangles do.
width of base "x"
Then the length is 2.5x
perimeter = 2 width + 2 length
=
= 2x + 5x
= 7x
but perimeter can't be more than 70 inches.
So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.
7x + 60 ≤ 130
7x ≤ 70
x ≤ 10
Then the answer is option a
a. 0<x≤10