SOLUTION: a rectangle has a length of (x+7)meters and breadth(x+3)meters. Show that the area, A square meters, of the rectangle is given by: A=x2+10x+21

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Question 437897: a rectangle has a length of (x+7)meters and breadth(x+3)meters. Show that the area, A square meters, of the rectangle is given by: A=x2+10x+21
Answer by nerdybill(7384) About Me  (Show Source):
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a rectangle has a length of (x+7)meters and breadth(x+3)meters. Show that the area, A square meters, of the rectangle is given by: A=x2+10x+21
.
Since area is length times width:
Let A = area
then
A = (x+7)(x+3)
FOIL the right side:
A = x^2 + 3x + 7x + 21
A = x^2 + 10x + 21