in a rectangle of perimeter one metre,one side is five centimetres longer than the other. What are the lengths of the sides?
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Answer:
Answer. And one side is 5cm long than the other. first side =22.5cm.
Let the shorter side of triangle =x cm
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cm
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle(x+5)(x)=150
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle(x+5)(x)=150⇒ x
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle(x+5)(x)=150⇒ x 2
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle(x+5)(x)=150⇒ x 2 +5x−150=0
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle(x+5)(x)=150⇒ x 2 +5x−150=0⇒ (x+15)(x−10)=0
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle(x+5)(x)=150⇒ x 2 +5x−150=0⇒ (x+15)(x−10)=0⇒ either x=−15 or x=+10
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle(x+5)(x)=150⇒ x 2 +5x−150=0⇒ (x+15)(x−10)=0⇒ either x=−15 or x=+10Since the side cannot be negative
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle(x+5)(x)=150⇒ x 2 +5x−150=0⇒ (x+15)(x−10)=0⇒ either x=−15 or x=+10Since the side cannot be negativeTherefore the value of c=−15 is negligible
Let the shorter side of triangle =x cmThe other side of the triangle =(x+5)cmThe area of reactangle(x+5)(x)=150⇒ x 2 +5x−150=0⇒ (x+15)(x−10)=0⇒ either x=−15 or x=+10Since the side cannot be negativeTherefore the value of c=−15 is negligibleWhen x=10cm, then the other side =10+5=15cm