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The length of a rectangle exceeds the width by 20 cm .Perimeter of rectangle is 180 centimetre,find Length and width of the rectangle. |
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Answer» :The length of rectangle exeeds the WIDTH by 20 cmPerimeter of the rectangle = 180 cm☆ To find :The length.The breadth.☆ Solution :Let the width of the rectangle be XTHEN the Length will be x + 20We know that,Perimeter (rectangle)= 2(length×breadth)According to Question,⟼ 180 = 2( x + 20 + x)⟼ 180 = 2(2x + 20)⟼ 180 = 2×2x + 2×20⟼ 180 = 4x + 40⟼ 180 - 40 = 4x⟼ 140 = 4x⟼ 140/4 = x⟼ x = 35Therefore,The width of rectangle (x) = 35 cmThe Length of rectangle (x + 20) = 35+20 = 55 cm.★ Check :As we know,Perimeter of rectangle = 2(l+b)THUS,Putting the value :→ 180 = 2(55 + 35)→ 180 = 2(90)→ 180 = 2 × 90→ 180 = 180∴ L.H.S. = R.H.S.Hence, checked !!! |
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