Question

What is the area of a rectangle with dimension (5m – 3n) by (2m – n)?A. 10m2 + 11mn + 3n2B. 10m2 + mn + 3n2C. 10m2 – 11mn + 3n2D. 10m2 – mn + 3n2I recommend to use a picture to understand your solution:)

Answer 1

Given

The dimension are given

(5m – 3n) by (2m – n).

Explanation

To determine the area of rectangle,

$A=l\times w$

Substitute the values,

$\begin{gathered} A=(5m-3n)\times(2m-n) \\ A=10m^2-5mn-6mn+3n^2 \\ A=10m^2-11mn+3n^2 \end{gathered}$

Answer

Hence the answer is

$10m^2-11mn+3n^2$

The correct option is C.