A rectangular picture has a width that is two-thirds its length. The picture has an area of 294 square inches. What are the dimensions of the picture?

Answer 1

W=width

L=length

W=(2/3)*L

Area=W*L

plug in equation for W above

Area=[(2/3)*L]*L

294=(2/3)L^2

Mulfiply both sides by 3/2 to isolate the L^2

(3/2)*294=L^2

441=L^2

L=sqrt(441)

L=21

W=(2/3)*21

W=14

Answer 2

Form an equation with the given:

length = x

width = (2/3)x

area = 294

length*width=area

x(2x/3)=294

(2(x^2))/3=294

x^2=294(3/2)

x^2=441

x=21

(2/3)x=14

length=21

width=14