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#7490

algebra

functions

word problem

expressions

modeling

area

geometry

squares

perimeter

medium

75 sec

Rectangle R has a width of $w$ inches and a height of $2 w$ inches. Rectangle S has a width of $w_{S}$ inches and a height of $2 w_{S}$ inches. The perimeter of rectangle R is 150 inches greater than the perimeter of rectangle S. The function $A$ gives the area of rectangle S, in square inches, in terms of $w$ . Which of the following defines $A$ ?

A.

$A (w) = (w - 25)^{2}$

B.

$A (w) = 2 (w - 25)^{2}$

C.

$A (w) = 2 (w - 150)^{2}$

D.

$A (w) = (w - 150)^{2}$