Question

the shorter side of a parallelogram is 25 CM less than its longer side. Find the length of the side of the parallelogram if its perimeter is 266 cm. *
79,54
89,64
70,50​

Answer 1

• $\huge\pink{\mid{\fbox{\tt(answer)}\mid}}$
• Let ABCD is a parallelogram
• Let AB=x m
• Adjacent side BC=(x+2.5) m
• Now,
• CD=AB=x m [Opposite sides of parallelogram are equal]
• And AD=BC=(x+2.5) m [Opposite sides of parallelogram are equal]
• Perimeter =AB+BC+CD+AD
• ⇒51=x+x+2.5+x+x+2.5
• ⇒51=4x+5
• ⇒4x=51−5
• ⇒4x=46
• ⇒x=
• 4
• 46
• ⇒x=11.5 m
• So,
• AB=CD=11.5 m
• and BC=AD=11.5+2.5=14 m