Question

Express the area of a rectangle with length 5m^45m 4 5, m, start superscript, 4, end superscript and width 6m^26m 2 6, m, start superscript, 2, end superscript as a monomial.

Answer 1

By definition, the area of a rectangle is given by:

$A = (w) (l)$

Where

l: length of the rectangle

w: width of the rectangle

Therefore, substituting values we have:

$A = (6m ^ 2) (5m ^ 4)$

Rewriting the expression we have:

$A = 30 (m ^ 2) (m ^ 4)$

$A = 30m ^ {2 + 4}$

$A = 30m ^ {6}$

Answer:

The area of the rectangle as monomial is given by:

$A = 30m ^ {6}$