Question

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​

Answer 1

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

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