Question

the ratio of two adjeacent sides of a parallelogram is 2:3 and its perimeter is 50cm.find its area if altitued corresponding to larger side is 10cm.

Answer 1

Dear friend,
Here's your answer...
Let the sides be 2x and 3x.
As two opposite sides of a //gm are equal and parallel, so the four sides are 2x ,3x ,2x and 3x.
Perimeter of //gm = Sum of all sides
50 = 2x + 3x + 2x + 3x
50 = 10x
5 = x
So, the sides are 2x = 2×5 = 10cm = 2x = 10 cm
3x = 3×5 = 15cm = 3x = 15 cm
The longer side is 15 cm and its altitude is 10 cm.
Therefore the area of the //gm = b × h
= 15 × 10 = 150cm²
Hope its right and helpful for you !!

Answer 2

$\bf \large{ \mathfrak{Hello \: Friends!!}}$


$\large \bf{ \mathfrak{Here \: is \: your \: answer ↓}}$


⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇


▶⏩ Let the ratio of two adjacent sides of parallelogram be ‘x’.

↪➡ Length (L) = 3x.

↪➡ Breadth (B) = 2x.

↪➡ Perimeter of parallelogram = 50cm.


▶We Know that perimeter of parallelogram is same as the perimeter of rectangle.


$\boxed{Perimeter \: of \: parallelogram = 2 ( L + B ).}$

$\bf{=> 50 = 2 ( 3x + 2x ).}$

$\bf{=> 50 = 2 × 5x.}$

$\bf{=> 50 = 10x.}$

$\bf = > x = \frac{50}{10} .$

$\huge \boxed{=> x = 5.}$


$\boxed{Length = 3x = 3 × 5 = 15cm.}$

$\boxed{Breadth = 2x = 2 × 5 = 10cm.}$

▶ Hence, length is the larger side (15cm) and height corresponding to it is 10cm.


$\boxed{Area \: of \: parallelogram = Base × height.}$


$\huge \bf{= 15 × 10.}$



$\huge \boxed{ = 150 \: {cm}^{2} }$

✅✅ Hence, area of parallelogram is founded ✔✔.



$\huge \boxed{THANKS}$



$\huge \bf \underline{Hope \: it \: is \: helpful \: for \: you}$