the ratio of two adjacent sides of a parallelogram is is 2:3 if its perimeter is 50 centimetre find its area if altitude corresponding to largest side is 10 cm
Answers
Given:
✰ The ratio of two adjacent sides of a parallelogram is 2:3
✰ Perimeter of a parallelogram = 50 cm
To find:
✠ Its area if altitude corresponding to largest side is 10 cm.
Solution:
Let's understand the concept! First we will assume the adjacent sides of parallelogram as 2x and 3x. As we are already provided with the perimeter of a parallelogram, thus by using formula to calculate perimeter, we will find the value of x. After Substituting the value of x in the adjacent sides, we have considered, we will find the area of parallelogram by using formula.
Let's find out...♪
Let the adjacent sides of parallelogram be 2x and 3x respectively.
✭ Perimeter = 2 ( l + b ) ✭
where,
- l is the length of a parallelogram.
- b is the breadth of a parallelogram.
Putting the values,
➛ 2 ( 2x + 3x ) = 50
➛ 4x + 6x = 50
➛ 10x = 50
➛ x = 50/10
➛ x = 5
Thus, the adjacent sides of parallelogram
⟹ One side of a parallelogram = 2x
⟹ One side of a parallelogram = 2 × 5
⟹ One side of a parallelogram = 10 cm
⟹ Other side of a parallelogram = 3x
⟹ Other side of a parallelogram = 3 × 5
⟹ Other side of a parallelogram = 15 cm
✭ Area of parallelogram = l × b ✭
where,
- l is the length of a parallelogram.
- b is the breadth of a parallelogram.
➤ Area of a parallelogram = 10 × 15
➤ Area of a parallelogram = 150 cm²
∴ It's area if altitude corresponding to largest side is 10 cm = 150 cm²
_______________________________