Question

Diesel inc. Is making rectangular picture frames for a new product being launched at the end of the year.to keek the weight down,the area of the frame should be 18 cm^2.the inside of the frame has to be 11 cm by 6 cm. What should the widht of the frame be?

Answer 1

Explanation:

Let w be the width of the frame.

The length of the shorter strip of frame is 6 + 2w cm

The length of the longer strip (excluding that on the shorter sides) is 11 cm

The total area of the frame is then given by 2*(6+2w)*w + 2*11*w or 4w2 + 34w cm

This must equal 18 cm2, so:

4w2 +34w = 18

Divide by 2 and rearrange: 2w2 + 17w - 9 = 0

This factors as: (2w - 1)(w + 9) = 0

Because the width must be positive the only sensible solution of this is 2w = 1, or w = 1/2 cm