A 3 by 5 inch picture is put into frame with a mat that has width x. Draw picture inside the frame, write the expression of the width and length of the frame AND the picture together. If the total area of the frame with the picture is 35 in ^2, find the width and length of the frame.

Answer 1

frame = (3+2x) by (5+2x)

(3+2x)(5+2x)= 35
15 + 16x + 4x^2 = 35
4x^2 + 16x - 20 = 0
x^2 + 4x - 5 = 0
(x-1)(x+5) = 0
x = 1 or x = -5 , the last one is not possible

the frame is 5 cm by 7 cm