- Books Name
- CBSE Class 7 Mathematics Book
- Param Publication
- CBSE Class 7
The base of a parallelogram is thrice its height. If the area is 876 cm2, find the base and height of the parallelogram.
Let the height of the parallelogram be x cm.
Then, base = 3x cm.
∴ Area of the parallelogram= (x × 3x) cm2 = 3x2 cm2
But, area of the parallelogram is given as 867 cm2.
∴ 3x2 = 867
⇒ x2 = 289
⇒ x2 = 172
⇒ x = 17 cm.
Thus, height = 17 cm and base = (3 × 17) cm = 51 cm.