What is claimed is:1. An electronic device, comprising:a flexible display including a first area and a second area extending from the first area;a first structure configured to support the first area of the flexible display;a second structure configured to guide a sliding of the first structure such that the second area of the flexible display is allowed to be received in the second structure and exposed to an outside of the second structure as the first structure is slid;a roller disposed in the second structure; anda support sheet configured to be wound or unwound around the roller,wherein a portion of the second area is configured to be deformed into a curved shape in a position corresponding to the roller and a remaining portion of the second area inserted or received in the second structure while being guided by the roller is configured to be deformed into a flat shape,wherein the support sheet is configured to be separated from the remaining portion of the second area deformed into the flat shape and to be wound around the roller as the second area is received in the second structure such that a gap between the flexible display and the second structure is reduced, andwherein the support sheet is configured to be unwound as the first structure is slid and the second area is exposed to the outside of the second structure such that the gap between the flexible display and the second structure is increased.2. The electronic device of claim 1, further comprising:a mounting recess formed in a surface of the roller,wherein a portion of the support sheet is fixed to the mounting recess.3. The electronic device of claim 1, further comprising a mounting hole formed from a surface of the roller to an inside of the roller, wherein an end of the support sheet is mounted inside the mounting hole.4. The electronic device of claim 1, wherein:a plurality of support sheets are arranged along a direction of a rotation axis of the roller, andeach of the plurality of support sheets extends in a direction perpendicular to the rotation axis.5. The electronic device of claim 1, wherein:the second area is inserted into an inside of the second structure through a gap between the roller and a second plate included in the second structure.6. The electronic device of claim 1, wherein:the second structure further includes:a first side wall perpendicular to a second plate included in the second structure,a second side wall perpendicular to the second plate and the first side wall, anda third side wall perpendicular to the second plate and the first side wall and parallel to the second side wall,the roller is mounted between the second side wall and the third side wall in a position adjacent to an edge of the second plate, andthe roller rotates about a rotation axis extending parallel to the first side wall.7. The electronic device of claim 6, wherein the flexible display is inserted into an inside of the second structure through a gap between an inner surface of the edge of the second plate and the roller.8. The electronic device of claim 6, further comprising:an elastic member mounted on an end of the flexible display and configured to move inside the second structure as the first structure slides,wherein the elastic member slidingly contacts the second plate as the second area gradually moves to a position where the second area is exposed to the outside of the second structure and, when the second area is exposed to the outside of the second structure, the elastic member is positioned between an inner surface of the edge of the second plate and a surface of the flexible display.9. The electronic device of claim 2, further comprising:a multi-joint hinge structure including a plurality of rods supporting the second area and connected to the first structure and configured to move over the second structure as the first structure slides,wherein as the first structure slides, a portion of the multi-joint hinge structure is deformed to a curved shape in a position corresponding to the roller.10. The electronic device of claim 9, wherein:the support sheet has a first end fixed to the roller and a second end fixed to the first structure, andat least a portion of the support sheet is positioned to face the multi-joint hinge structure or wound around the roller.11. The electronic devie of claim 9, wherein:the rods are arranged along a direction perpendicular to a rotation axis, in parallel to the rotation axis, andwhen the second area is exposed to the outside of the second structure, the support sheet is positioned between the second structure and the multi joint hinge structure.12. An electronic device, comprising:a housing including a rear case and a side wall extending from the rear case;a roller mounted in the housing while being positioned adjacent to a portion of the side wall;a support sheet mounted on the roller and configured to be wound around the roller as the roller rotates; anda flexible display including a first area exposed to an outside of the housing and a second area extending from the first area, the second area of the flexible display guided by the roller to be at least partially inserted or received inside the housing or exposed to the outside of the housing,wherein a portion of the second area is configured to be deformed into a curved shape in a position corresponding to the roller and a remaining portion of the second area inserted or received in the housing while being guided by the roller is configured to be deformed into a flat shape,wherein the support sheet is configured to be separated from the remaining portion of the second area deformed into the flat shape and to be wound around the roller as the second area is received in the housing such that a gap between the flexible display and the housing is reduced, andwherein the support sheet is configured to be unwound as the second area is exposed to the outside of the housing.13. The electronic device of claim 12, wherein when the second area is received inside the housing, at least two different portions of the support sheet are disposed to overlap between an edge of the rear case and a rotation axis of the roller.14. The electronic device of claim 12, further comprising:a multi-joint hinge structure including a plurality of rods supporting the second area and, as the roller rotates, the multi joint hinge structure is guided by the roller and inserted or received inside the housing or extracted to the outside of the housing,wherein the multi-joint hinge structure is at least partially deformed to a curved shape in a position corresponding to the roller.15. The electronic device of claim 14, wherein when the second area is exposed to the outside of the housing, the support sheet is disposed between the rear case and the multi-joint hinge structure.16. The electronic device of claim 12, wherein:a plurality of support sheets are arranged along a direction of a rotation axis of the roller, andeach of the plurality of support sheets extends in a direction perpendicular to the rotation axis.17. The electronic device of claim 12, further comprising a slide plate slidably coupled to the housing, wherein the first area is mounted on the slide plate.18. The electronic device of claim 17, wherein:the support sheet includes a first end fixed to the roller and a second end fixed to the slide plate, andat least a portion of the support sheet is positioned to face the second area or is wound around the roller.19. The electronic device of claim 12, further comprising:at least one elastic member mounted on at least one of an end of the flexible display and an inner surface of an edge of the rear case,wherein when at least the second area is exposed to the outside of the housing, the elastic member is positioned between the inner surface of the edge of the rear case and a surface of the flexible display.