The perimeter of a rectangle is 54cm. One side is x cm long and the other is 6cm longer. a) Form an equation involving x b) Solve the equation and write down the length of each of the sides.
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Answer:
perimeter = 54cm
one side = x
another side = x + 6
a) equation :
perimeter = 2(l+b)
54 cm = 2( x + x + 6)
b) solving the equation
54 cm = 2(2x + 6)
54cm/2 = 2x + 6
27 cm - 6 = 2x
x = 21/2
x = 10.5 cm
one side = 10.5 cm
other side = 10.5 cm + 6cm
= 16.5 cm
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