SOLUTION: A rectangular portrait measures 50 cm by 70 cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame is the same as the area of the portrait, what is

Question 1084821: A rectangular portrait measures 50 cm by 70 cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame is the same as the area of the portrait, what is the approximate width of the frame?

Answer by chen(11) (Show Source): You can put this solution on YOUR website!
The area of the portrait is 50x70 = 3500 square cm
Let's call w the width of the frame.
Its area is 2*(70+2*w)*w+2*50*w =

then dividing by 4:

By solving the equation we get w = around 19cm

RELATED QUESTIONS
A rectangular portrait measures 50cm by 70cm. It is surrounded by a rectangular frame of... (answered by josgarithmetic)

A rectangular portrait is 3 inches longer than it is wide. A 3 inch frame of uniform... (answered by sachi)

A rectangular garden is 10m by 5m it is surrounded of a uniform width if the total area... (answered by cleomenius)

A rectangular photo of dimensions 8 cm by 9 cm is placed in a picture frame of uniform... (answered by josgarithmetic)

A picture 18 cm by 15 cm, has a uniform frame around it. If the area of the frame is 234... (answered by lwsshak3)

A picture frame measures 28 cm by 32 cm and is of uniform width.What is the width of the... (answered by checkley77)

A rectangular picture, inside a rectangular frame, measures 40 cm by 30 cm. The outside... (answered by josgarithmetic)