Question

Area of a parallelogram is 625 m square find the length of sides of parallelogram if altitude corresponding two sides are 20 m and 25 m.

Answer 1

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Answer 2

Answer:

$Lengths \: of \: two \\ sides \:are\: 31.25\\ and \: 25\:m$

Step-by-step explanation:

Let a and b are two adjacent sides

and

h and H are two corresponding altitudes of a parallelogram.

h = 20 m, H = 25 m

Area (A)= 625 m²

$\boxed {Area = base\times corresponding\:altitude}$

$i) Area = 625\:m^{2}$

$\implies a\times h = 625$

$\implies a \times 20=625$

$\implies a = \frac{625}{20}$

$\implies a = 31.25\: m$

$i) Area = 625\:m^{2}$

$\implies b\times h = 625$

$\implies b \times 25=625$

$\implies b = \frac{625}{25}$

$\implies b = 25\: m$

Therefore,

$Lengths \: of \: two \\ sides \:are\: a= 31.25\\ and \: b = 25\:m$

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