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Answers
Answer:
Correct Question:
The base of a parallelogram is twice its height. If its area is 800 cm², find its height and base.
Required Solution:
Given:
The base of a parallelogram is twice its height.
Its area is 800 cm².
To calculate:
Height and base
Calculation:
Let the height of the parallelogram be x cm.Therefor,its base becomes 2x cm.
We know that,
Area of parallelogram = length × breadth
According to the question:
→ 800 = (x) × (2x)
→ 800 = 2x²
→ x² = \dfrac{800}{2}
2
800
→ x² = 400
→ x = \sqrt{400}
400
→ x = 20 cm [Height]
Height = x = 20cm
Base = 2x = (2×20) = 40cm
▬▬▬▬▬▬▬▬▬▬▬
Extra!!
Perimeter:
Perimeter of square : 4 × side
Perimeter of rectangle : 2 ( l + b )
Perimeter of parallelogram : 2 ( l + b )
Perimeter of rhombus : 4 × side
Perimeter of trapezium : Sum of sides
Perimeter of triangle : Sum of sides
Perimeter of circle (circumference) : 2πr
Area:
Area of square : (Side)²
Area of rectangle : l × b
Area of parallelogram : Base × height
Area of rhombus : ½ × diagonal\sf {_1}
1
× diagonal\sf {_2}
2
Area of trapezium : ½ × (sum of parallel sides) × h
Area of triangle : ½bh
Area of circle : πr²
Step-by-step explanation:
Correct Question:
The base of a parallelogram is twice its height. If its area is 800 cm², find its height and base.
Required Solution:
Given:
The base of a parallelogram is twice its height.
Its area is 800 cm².
To calculate:
Height and base
Calculation:
Let the height of the parallelogram be x cm.Therefor,its base becomes 2x cm.
We know that,
Area of parallelogram = length × breadth
According to the question:
→ 800 = (x) × (2x)
→ 800 = 2x²
→ x² = \dfrac{800}{2}
2
800
→ x² = 400
→ x = \sqrt{400}
400
→ x = 20 cm [Height]
Height = x = 20cm
Base = 2x = (2×20) = 40cm
▬▬▬▬▬▬▬▬▬▬▬
Extra!!
Perimeter:
Perimeter of square : 4 × side
Perimeter of rectangle : 2 ( l + b )
Perimeter of parallelogram : 2 ( l + b )
Perimeter of rhombus : 4 × side
Perimeter of trapezium : Sum of sides
Perimeter of triangle : Sum of sides
Perimeter of circle (circumference) : 2πr
Area:
Area of square : (Side)²
Area of rectangle : l × b
Area of parallelogram : Base × height
Area of rhombus : ½ × diagonal\sf {_1}
1
× diagonal\sf {_2}
2
Area of trapezium : ½ × (sum of parallel sides) × h
Area of triangle : ½bh
Area of circle : πr²