Question

The area of a rectangle is equal toits length times its width. If the area of a rectangle is 14x + 42 square
feet, which option(s) could be the length and width of that rectangle? Select all that apply.
A. 7 feet long and (2x + 6) feet wide
B. 2 feet long and (x + 7) feet wide
ооооо
C. 14 feet long and (x + 3) feet wide
D. 2 feet long and (7x + 20) feet wide
E. 14 feet long and (x + 5) feet wide

Answer 1

$\begin{gathered} \sf Let \: \pink{l} \:and \: \blue{w} \:are \: length \\\sf and \: width \: of \: a \: rectangle \end{gathered}$

$\begin{gathered}\sf Area \:of \: the \: rectangle (A) \\\sf = 14x+42 \: square \:feet \end{gathered}$

$\sf l \times w = 14\times (x+3) \: square \:feetl×w=14×(x+3)$

Therefore.,

$\sf\red{Dimensions \:of \: the \: rectangle: }$

$\sf\green { ( l , w ) = ( 14, x+3) \: Or \: ( x+3 , 14 )}(l,w)=(14,x+3)Or(x+3,14)$

✵••✵