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.

Question

Mathematics

Sylvia

15 September, 22:25

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.

+5

Answers (2)

Know the Answer?

Krista Eaton · Answer 1

Answer: 4x - xy - 8 + 2y

Step-by-step explanation:

(x-2) (4-y) = 4x - xy - 8 + 2y

Adalyn Kelly · Answer 2

4x + 2y - xy - 8

Step-by-step explanation:

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