Question

the ratio of two adjacent sides of a parallelogram is 2:3 .It's perimeter is 50 cm .Find its area if altitude corresponding to larger side is 10 cm

Answer 1

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Answer 2

Answer:

The area of the parallelogram is $\bold{150 \mathrm{cm}^{2}}$

Step-by-step explanation:

Given: The two adjacent sides of the parallelogram is 2 and 3  

We have  

2x + 3x + 2x +3x=50 [A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel]

10x=50 [Perimeter of a parallelogram is the total distance around the outside of the parallelogram]

X=50/10

 =5

Therefore ,

Sides 2x= 2(5) =10

         3x= 3(5) =15

Area = l x b

       = 15 x 10

$=\bold{150 \mathrm{cm}^{2}}$