height of perallelogram is one third of it's base.if area of the perallelogram is 75cm² then its base is.
Answers
Answer:
Let the height of the parallelogram be h cm and base be b cm.
According to the question h=
3
1
b
Area of parallelogram =base × height
b×h=192
⇒b×
3
1
b=192
⇒b
2
=192×3
⇒b
2
=576
⇒b=
576
⇒b=24cm
But given h=
3
1
b
⇒h=
3
1
×24
⇒h=8cm
Height of the parallelogram =h=8cm
Base =b=24cm.
Answer
The base of the parallelogram is 15 cm
Explanation:
Given
- The shape is a parallelogram
- Its height is one third of its base
- Its Area is 75cm²
To Find
- The base of the parallelogram
let the base of parallelogram = b
The height of the parallelogram = b/3
Area of a parallelogram = Base × height
⟹ 75cm² = b × b/3
⟹ 75cm² = b²/3
⟹ 75cm² × 3 = b²
⟹ 225cm² = b²
⟹ √(225cm) = b
⟹ 15 cm = b
The base of the parallelogram is 15 cm
More:
A a parallelogram is a quadrilateral with opposite sides parallel and equal to each other. The opposite angles of a parallelogram are equal too.
Area of a parallelogram = base × height
Perimeter of a parallelogram = 2 ( base + height )