the figure shows a parallelogram PQRS where PQ= 20 m and PS=25 m. if the area of the parallelogram is 480 m square , find the lenght of ST.
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Given : PQRS where PQ= 20 m and PS=25 m. if the area of the parallelogram is 480 m square ,
To find : the length of ST.
Solution:
As figure is missing
Case 1 : ST ⊥ PQ
Area of parallelogram = Base * height
=> 480 = PQ * ST
=> 480 = 20 * ST
=> ST = 24
But ST should be less than equal to PQ Hence not possible
Case 2 : ST ⊥ QR
Area of parallelogram = Base * height
=> 480 = QR * ST
QR = PS = 25
=> 480 = 25 * ST
=> ST = 19.2 m
Length of ST = 19.2 m
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