12 May, 20:24
The length and width of a rectangle is (x-2) and (4-y) respectively. Express the area, A, of the rectangle in terms of x and y.
12 May, 20:34
Answer: 4x - xy - 8 + 2y
(x-2) (4-y) = 4x - xy - 8 + 2y
12 May, 20:55
4x + 2y - xy - 8
The area (A) of a rectangle is calculated as
A = length * width, that is
A = (x - 2) (4 - y)
Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is
x (4 - y) - 2 (4 - y) ← distribute both parenthesis
= 4x - xy - 8 + 2y, thus
A = 4x + 2y - xy - 8
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» The length and width of a rectangle is (x-2) and (4-y) respectively. Express the area, A, of the rectangle in terms of x and y.