the length of a rectangle is 3 more than the width. if the area is 40 square inches what is the dimension of the width

width=5inches

Step-by-step explanation:

Let the width =x

Then the length=x+3

Area of a rectangle=L×W, where Area=40inch²

Therefore we substitute the values of the dimensions into the formula

40=(x+3)(x)

40=x²+3x(grouping the terms together)

x²+3x-40=0(factorise the quadratic)

(x+8)(x-5)=0(find the zeros)

x+8=0,x=-8

x-5=0,x=5

Since the dimension, whether length or width cannot be negative,then x is 5inches hence width is 5 and length is 5+3=8inches

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