. The area of rectangle is 150sq.cm. if one of its side is 10cm. what is the length of its other sides? Also find the perimeter of the rectangle.
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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
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
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Area = Length × Breadth
150 cm² = Length × 10 cm
Length = 150 cm² ÷ 10 cm
Length = 15 cm
Perimeter = 2(Length + Breadth)
Perimeter = 2(15 cm + 10 cm)
Perimeter = 2(25 cm)
Perimeter = 50 cm
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